Finding the Third Proportional to 31,626 and 68,139

Step by Step Solution

1. Step 1: Write the proportion equation
   31,626 : 68,139 = 68,139 : x
2. Step 2: Convert to fraction form
   31,626/68,139 = 68,139/x
3. Step 3: Cross multiply
   31,626x = 68,139 × 68,139
4. Step 4: Simplify right side
   31,626x = 4,642,923,321
5. Step 5: Solve for x
   x = 4,642,923,321/31,626
6. Step 6: Final answer
   x = 146,807.16