Pilot321

Hi, unbelievably, I bought my first bicycle tire in over 30 years as I have been riding on the originals after the bike sat for 30 years, prior to my getting back on the bike last year. I noticed wear on the rear tire, so ordered a Vittoria Zaffiro 700x25c tire. I am trying to mount the tire on the wheel a Wolber T410 Alpine (on a 1987 Cannondale SR500). The tire seems way too large, and has a much larger beads than the old Performance tire it is replacing which is marked 700x25.

Is this the wrong tire? Aren't these rims made for Clinchers? The old tire just seems much smaller and especially thinner and lighter. Thanks!

Edit: See below.