The problem is how did Archimedes calculate the lengths of the sides of the polygons which needed him to be able to calculate square roots?
Weekly Problem 22 - 2012
What number could replace * so that */5 is between 3 and 4?
Are these estimates of physical quantities accurate?
To get the minimum number of ancestors for each row we divided
the time in years by the lifespan. To get the largest numbers of
ancestors we divded the time in years by the time to maturity.
This gave grand totals of between $19,658,333$ and $154,576,923$
To get the average age of an ancestor when giving birth we found
an average age = (Lifespan + time to maturity)/2 and timesed this
by the timespan.
Assuming that ancestors were born at an average point in their
parents' lives, we get $33,988,937$ ancestors.
Rounding up to sensible values, we think that there were at most
$150$ million ancestors, at least $20$ million ancestors and
probably about $35$ million ancestors.