EA Sports responded and suggested that I wait about 10-15 seconds after I placed the 2nd install disk in the CD/DVD drive (wait until the light stops blinking) before clicking on the "OK" button on the prompt. It worked. I guess I was in too much of a hurry in the past and was clicking "OK" as soon as the drive closed. The drive apparently did not have enough time to properly read the disk.

Embarrassingly simple!!