Finding the Third Proportional to 31,376 and 68,468

Step by Step Solution

1. Step 1: Write the proportion equation
   31,376 : 68,468 = 68,468 : x
2. Step 2: Convert to fraction form
   31,376/68,468 = 68,468/x
3. Step 3: Cross multiply
   31,376x = 68,468 × 68,468
4. Step 4: Simplify right side
   31,376x = 4,687,867,024
5. Step 5: Solve for x
   x = 4,687,867,024/31,376
6. Step 6: Final answer
   x = 149,409.33