Where do I start working up the corporate ladder at a technology company such as Apple?

I'm going to be a freshman in high school pretty soon, and I want to eventually be part of higher management at a large technology company. I'm talking like CEO, president of a division, etc. Where would I even start to get to this point? I plan on going to an ivy league school in the silicon valley area (Stanford specifically). What degrees and majors would I need? What would be a good starting job? What job should I try to get while in college? After college? I'm particularly interested in Apple. However, google and Microsoft follow closely behind that. And I mean come on. Steve Jobs and Tim Cook won't last forever. ;)