Finding the Third Proportional to 31,280 and 72,352

Step by Step Solution

1. Step 1: Write the proportion equation
   31,280 : 72,352 = 72,352 : x
2. Step 2: Convert to fraction form
   31,280/72,352 = 72,352/x
3. Step 3: Cross multiply
   31,280x = 72,352 × 72,352
4. Step 4: Simplify right side
   31,280x = 5,234,811,904
5. Step 5: Solve for x
   x = 5,234,811,904/31,280
6. Step 6: Final answer
   x = 167,353.32