Finding the Third Proportional to 32,288 and 69,762

Step by Step Solution

1. Step 1: Write the proportion equation
   32,288 : 69,762 = 69,762 : x
2. Step 2: Convert to fraction form
   32,288/69,762 = 69,762/x
3. Step 3: Cross multiply
   32,288x = 69,762 × 69,762
4. Step 4: Simplify right side
   32,288x = 4,866,736,644
5. Step 5: Solve for x
   x = 4,866,736,644/32,288
6. Step 6: Final answer
   x = 150,728.96