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I believe you made a math error.
China's $5 trillion GDP divided by 1.3 billion people = $3,846 per-capita PPP GDP
$20,000 / $3,846 = 5.2
If China's per-capita PPP GDP were $20,000 instead of $3,846, then China's overall PPP GDP of $5 trillion would have to be multiplied by a factor of 5.2 to give you an overall PPP GDP for China of $26 trillion, not $125 trillion.

I used a different source for my numbers (britannica), which uses the UN system for translating foreign GNP to US dollars, which gave the GNP for China at $923 billion . I didn't check the math against your numbers.

The revised line should read:
00,780 - China: 1.3 billion population, $923 billion GDP
20,000 - China: 1.3 billion population, $24 trillion GDP

Not as scary as 125 but it would still be a big leap for China and a big change for the world.

One point. Chinese GDP (or GNP) is much, much smaller if we look at exchange rates instead of PPP. This also makes a big difference in terms of how big U.S. GDP is as a % of the world. By PPP, we have 22% of world's GDP. By exchange rates, it is roughly 30%. Ok, now some questions.

1) Do you know of any information on U.S. % of world GDP both in terms of PPP and Exchange rates. I would love more info. on this, web links or even a book.

2) Even better yet, do you have any info. on the HISTORY of U.S. % of world GDP in terms of PPP and exchange rates?

3) Which is more relevant, PPP or exchange rates?