> Well, we like the Major Triad, so let's make another one, but starting with a different note as the fundamental. To preserve as much theme with the previous triad, let's start with the "closest" notes to the C that we have in our first triad: The first note other than C that we hit was 3/2 times the Root, also called the Perfect Fifth; therefore let's build a triad using 3/2 times C4 = G4 as the fundamental.
And then
> Ok, that was so much fun let's go in the other direction as well.
Why not just continue with the harmonic series, rather than construct a new chord from the fifth? Why continue with a fifth below the root, and not continue in the established direction? Because these changes would lead to a completely different answer. He knows which answer he wants to end up with, so he picks a path that will lead there. This is numerology.