Finding the Third Proportional to 32,432 and 69,048

Step by Step Solution

1. Step 1: Write the proportion equation
   32,432 : 69,048 = 69,048 : x
2. Step 2: Convert to fraction form
   32,432/69,048 = 69,048/x
3. Step 3: Cross multiply
   32,432x = 69,048 × 69,048
4. Step 4: Simplify right side
   32,432x = 4,767,626,304
5. Step 5: Solve for x
   x = 4,767,626,304/32,432
6. Step 6: Final answer
   x = 147,003.77