Whoever makes your cake should be able to tell you what you need for 60 people. However, a 12 and 8 inch round (if you’re doing a tiered cake) feeds 56, so take that and add a 4 inch top tier and you’ll have enough. I don’t know if store bakeries do tiered cakes though. I’m not sure how many sheet cakes you’d need.
It may not be a bad idea to get a small tiered cake from a bakery for “show” and then have sheet cakes in the back to be cut. This is a huge trend in saving money for brides on a budget. Otherwise, GE cakes really are exceptional. For 60 people, a whole sheet cake will do.