Sorry Zuburg, I have been away for a few days.
First, I don't think the contact cement type adhesive is what you should be using. You will find that there is going to be many adjustments before you are through. You will need a adhesive that will allow that ,at least for a short time. I was told to use 3M 08115 panel bonding adhesive. It is a two part adhesive that requires a mixing tip,(disposable).
Start in the middle.
When you do these ,you need to take your time and use small clamps. The clamps can be as small as the clamps you use foe attaching 15-20 pieces of paper. Do small sections at a time, have a few q-tips to use to adjust the glue bead.
When you do the glue up, you want the bead of the seal to just nudge the edge of the skirt. You will find the in the middle of the skirt there is not much skirt to work with. That will help you adjust where you are as far a the bead to edge.
Your photos only show the back top of the skirt, but it looks correct. Just keep the front round bead flush with the edge.
You need to keep in mind that when you are finished ,you will need to install the skirt. The new rubber is larger then the old compressed junk that you took off. It will be a little tougher to put on now. I know you wanted to hear that.