The answer to this problem is 100
Suppose the peg is like a rectangular prism:
It will be a right triangle with two sides of 2 and 2 because the diameter is 4.
c=√(2²+2²)
c=2√2
so the width of the largest peg is 2√2 or 2.83 inch
Let the initial population = P
increase in population = 35%
35% of P = 35/100 P = 0.35P
P + 0.35P = 91800
1.35P = 91800
P = 91800/1.35
P = 68,000
Previous population was 68,000