Finding the Third Proportional to 66,899.50 and 91,738.50

Step by Step Solution

1. Step 1: Write the proportion equation
   66,899.50 : 91,738.50 = 91,738.50 : x
2. Step 2: Convert to fraction form
   66,899.50/91,738.50 = 91,738.50/x
3. Step 3: Cross multiply
   66,899.50x = 91,738.50 × 91,738.50
4. Step 4: Simplify right side
   66,899.50x = 8,415,952,382.25
5. Step 5: Solve for x
   x = 8,415,952,382.25/66,899.50
6. Step 6: Final answer
   x = 125,799.93