Finding the Third Proportional to 32,332 and 69,761

Step by Step Solution

1. Step 1: Write the proportion equation
   32,332 : 69,761 = 69,761 : x
2. Step 2: Convert to fraction form
   32,332/69,761 = 69,761/x
3. Step 3: Cross multiply
   32,332x = 69,761 × 69,761
4. Step 4: Simplify right side
   32,332x = 4,866,597,121
5. Step 5: Solve for x
   x = 4,866,597,121/32,332
6. Step 6: Final answer
   x = 150,519.52