Finding the Third Proportional to 31,782.38 and 68,353.88

Step by Step Solution

1. Step 1: Write the proportion equation
   31,782.38 : 68,353.88 = 68,353.88 : x
2. Step 2: Convert to fraction form
   31,782.38/68,353.88 = 68,353.88/x
3. Step 3: Cross multiply
   31,782.38x = 68,353.88 × 68,353.88
4. Step 4: Simplify right side
   31,782.38x = 4,672,252,227.52
5. Step 5: Solve for x
   x = 4,672,252,227.52/31,782.38
6. Step 6: Final answer
   x = 147,007.65