Finding the Third Proportional to 31,692 and 69,432

Step by Step Solution

1. Step 1: Write the proportion equation
   31,692 : 69,432 = 69,432 : x
2. Step 2: Convert to fraction form
   31,692/69,432 = 69,432/x
3. Step 3: Cross multiply
   31,692x = 69,432 × 69,432
4. Step 4: Simplify right side
   31,692x = 4,820,802,624
5. Step 5: Solve for x
   x = 4,820,802,624/31,692
6. Step 6: Final answer
   x = 152,114.18