Finding the Third Proportional to 31,510 and 68,744

Step by Step Solution

1. Step 1: Write the proportion equation
   31,510 : 68,744 = 68,744 : x
2. Step 2: Convert to fraction form
   31,510/68,744 = 68,744/x
3. Step 3: Cross multiply
   31,510x = 68,744 × 68,744
4. Step 4: Simplify right side
   31,510x = 4,725,737,536
5. Step 5: Solve for x
   x = 4,725,737,536/31,510
6. Step 6: Final answer
   x = 149,975.80