Yeah the rear transmission shaft seal is leaking. Age and heat makes them brittle and a slight wobble accelerates the process. It is not particularly difficult to replace once you have the drive shaft and harmonic balancer removed. There may be a nice youtube video to help you. Otherwise any reputable auto repair shop can do it.
If the leak is not bad, and your transmission is otherwise in reasonably good shape you can sometimes get 2,000 to 10,000 more miles out of it with transmission seal leak repair. It softens and conditions the rubber a bit and often but not always allows the seal to function, sometimes it makes it worse. It's a crap shoot, and many will advise against this approach due to various risks of putting additives in the transmission fluid. The conditioner won't affect the torque converter, bearings or clutches, but it will affect every internal rubber component (there aren't that many fortunately) so, I'll let you use your judgement.
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