Google is your friend.
Your release fits: Compatible with G10, G11, G12, EOS Digital Rebel series, 60D, Elan II/IIE, Elan 7/7E, Rebel Ti /2000/G/GII/X/XS, IX/IX Lite
You need the RS-80N3.
Not sure I have seen "adapters" for these, though the release I use for Calumet sells the release and the cable separately, so if your many camera has different connections, you just buy other cables.
I would list your RS60 on Amazon and pick up the RS80 or look at the Calumet solution perhaps. There are a lot of cheaper shutter releases as well, so you may be able to sell the Canon, get an Opteka or something similar and come out a few bucks ahead