Finding the Third Proportional to 31,597 and 68,089

Step by Step Solution

1. Step 1: Write the proportion equation
   31,597 : 68,089 = 68,089 : x
2. Step 2: Convert to fraction form
   31,597/68,089 = 68,089/x
3. Step 3: Cross multiply
   31,597x = 68,089 × 68,089
4. Step 4: Simplify right side
   31,597x = 4,636,111,921
5. Step 5: Solve for x
   x = 4,636,111,921/31,597
6. Step 6: Final answer
   x = 146,726.33