Finding the Third Proportional to 59,661 and 80,737.50

Step by Step Solution

1. Step 1: Write the proportion equation
   59,661 : 80,737.50 = 80,737.50 : x
2. Step 2: Convert to fraction form
   59,661/80,737.50 = 80,737.50/x
3. Step 3: Cross multiply
   59,661x = 80,737.50 × 80,737.50
4. Step 4: Simplify right side
   59,661x = 6,518,543,906.25
5. Step 5: Solve for x
   x = 6,518,543,906.25/59,661
6. Step 6: Final answer
   x = 109,259.72