Finding the Third Proportional to 35,732 and 80,568.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,732 : 80,568.50 = 80,568.50 : x
2. Step 2: Convert to fraction form
   35,732/80,568.50 = 80,568.50/x
3. Step 3: Cross multiply
   35,732x = 80,568.50 × 80,568.50
4. Step 4: Simplify right side
   35,732x = 6,491,283,192.25
5. Step 5: Solve for x
   x = 6,491,283,192.25/35,732
6. Step 6: Final answer
   x = 181,665.82