Requiem (Space Travel, SF Radio Drama) by Robert A. Heinlein - X Minus One

Harriman has spent his life dreaming of space, and has built a career out of risky investments in rocket technology. Now finally with the financial means to reach the moon, he is told by the doctors that his elderly body is too frail to survive the rigors of Space. Harriman and his dream will not die so easily.
Aired 27th October 1955, on X Minus One - the science fiction radio series broadcast from 1955 to 1958 on NBC Radio