Finding the Third Proportional to 59,681 and 80,767.50

Step by Step Solution

1. Step 1: Write the proportion equation
   59,681 : 80,767.50 = 80,767.50 : x
2. Step 2: Convert to fraction form
   59,681/80,767.50 = 80,767.50/x
3. Step 3: Cross multiply
   59,681x = 80,767.50 × 80,767.50
4. Step 4: Simplify right side
   59,681x = 6,523,389,056.25
5. Step 5: Solve for x
   x = 6,523,389,056.25/59,681
6. Step 6: Final answer
   x = 109,304.29