Cernan announced: "We'd like to share a piece of this rock with so many of the countries throughout the world."
His wish was fulfilled.
President Richard Nixon ordered that the brick-sized rock be broken up into fragments and sent to 135 foreign heads of state and the 50 US states.
Each "goodwill Moon rock" was encased in a lucite ball and mounted on a wooden plaque with the recipient nations' flag attached.
There were 370 pieces gathered for this purpose from the two missions. Two hundred and seventy were given to nations of the world and 100 to the 50 US states.
But 184 of these are lost, stolen or unaccounted for - 160 around the world and 24 in the US.
The rocks were distributed to countries ranging from Afghanistan to Trinidad and Tobago.
Joseph Gutheinz's search for the missing Moon rocks began in 1998 His obsession began in 1998 when - still at Nasa - he set up an undercover sting operation called Operation Lunar Eclipse.
He placed an advert entitled "Moon Rocks Wanted" in USA Today, to entice con-artists selling bogus Moon rocks to approach him.
"What I did not anticipate was that a person with the real thing, the Honduras goodwill Moon rock, would call me," he says.
The rock - which weighed 1.142g - was offered to Gutheinz for $5m (£3m).
He did not pay the money, but says the asking price was reasonable.
These valuable rocks are not being protected as well as they could be, he says, and both Nasa and the recipient nations have done a poor job of entering them into an inventory system.
He says the only authorised sale of lunar material that he is aware of was in 1993, when the Russian government sold material gathered from the Soviet Union's Luna 16 mission at Sotheby's auction house in New York.
From lunar landscape to Dublin dump
Dr Ian Elliott worked at the Dunsink Observatory in Dublin when it was destroyed by fire on 3 October 1977.I heard about the fire on the morning news. I can tell you, that was a bit of a shock.
My main concern was with the disruption to the work of the observatory. It was only afterwards that we realised that the bit of Apollo 11 Moon rock could not be found.
It was gathered up with all of the other debris and dumped in the municipal dump which was conveniently just across the road.
It is probably the only municipal dump in the world that has got a bit of Moon rock.
If we'd had any perception of the rock's value, perhaps all of the debris would have been sifted by archaeologists and it might have been found.
I am amazed that anyone puts a value of $5m on it, though there are a lot of mad people with money around so they might just pay that.
It is a very big dump, I am afraid. It is worse than a needle in a haystack - you would never find it.
An anonymous private collector bought 0.2g of lunar dust for $442,500 (£280,000).
With potential prices in this range, it is no surprise there is a lucrative black market in moon rocks, both real and fake.Mr Gutheinz says a woman in California allegedly tried to sell a Moon rock online, and that attempts to sell Spain's and Cyprus's moon rocks have been well documented.
"I once offered $10,000 for the recovery of Malta's stolen Apollo 17 goodwill Moon rock but it still hasn't been recovered," he says.
"I know for certain that this was an amateur thief as he only took the rocks, and not the self-authenticating plaque."
Some Moon rocks have gone astray at times of revolution or political transition. The US national archives show that a rock was presented to the late Romanian dictator, Nicolae Ceausescu, but Gutheinz believes it was sold after his execution.
Then there is the mysterious tale of how - after a fire at an observatory in Dublin - Ireland's Apollo 11 Moon rock ended up lying in a rubbish dump, after apparently being thrown out with the rest of the debris.
"It's still there under a couple of tonnes of trash. That could definitely be worth over $5m (£3.1m). I'll tell you where it's at. It's in the Finglas landfill dump in Dublin," Gutheinz says.
Because of the scale of the task he has challenged his students at the University of Phoenix and Alvin Community College in Texas - where he teaches criminal justice - to help find the missing rocks.
So far, they have helped to track down 77, including those that were given to the governors of the US states of Colorado, Missouri and West Virginia.
The Honduras Moon rock was recovered in a sting operation "I am continually awed when I work with four-billion-year-old lunar samples. They are beautiful and don't have ugly weathering products often seen in Earth rocks.
"The lunar rocks retain a record of events in the early solar system that we cannot obtain elsewhere."
While Joseph Gutheinz has compared them to works of art, not everyone is so enthusiastic about them. London-based art writer and curator, Francesca Gavin, describes them as "ugly little things", although she is not opposed to the idea of seeing one in an art gallery.
"Moon rocks could be seen as artworks - relating in particular to the Chinese tradition of the Philosopher Stones as naturally occurring artworks reflecting the universe in microcosmic form," she says.
Gavin does not think the rocks are worth $5m (£3.1m), however, and questions the way they are mounted as goodwill gifts.
"The brown plaque, text and flag? It's pretty uneasy on the eyes."
Gutheinz concedes he will never be able to recover all of the missing Moon rocks - many are now in private collections - but says there are some he particularly wants back.
"Definitely the Malta Moon rock. I'd really like to see that back, and the Romanian rock. If I go to Europe, I will hunt that one down. I have a few ideas as to how I'll do that.
"And I love the story about the Ireland Moon rock - that pot of gold under a dump."
