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The beginning formula is wrong.
xp = 760 and xe = 500 produces a delay: dt = 206us;
and for exactly the same transmission but reversed only, produces result:
xe = 760 and xp = 500: dt = 215us
This is a nonsense!
Author of this fallacy should correct this immediately, or delete completely this erroneous formula - if he is unable to do math.
additional note:
hence an approximated form - up to second order is:
so, this is inconsistent with the next equation.
You lost this: :, what is a quite big number.