Finding the Third Proportional to 31,377.38 and 68,388.75

Step by Step Solution

1. Step 1: Write the proportion equation
   31,377.38 : 68,388.75 = 68,388.75 : x
2. Step 2: Convert to fraction form
   31,377.38/68,388.75 = 68,388.75/x
3. Step 3: Cross multiply
   31,377.38x = 68,388.75 × 68,388.75
4. Step 4: Simplify right side
   31,377.38x = 4,677,021,126.56
5. Step 5: Solve for x
   x = 4,677,021,126.56/31,377.38
6. Step 6: Final answer
   x = 149,057.12