Finding the Third Proportional to 31,605 and 67,857

Step by Step Solution

1. Step 1: Write the proportion equation
   31,605 : 67,857 = 67,857 : x
2. Step 2: Convert to fraction form
   31,605/67,857 = 67,857/x
3. Step 3: Cross multiply
   31,605x = 67,857 × 67,857
4. Step 4: Simplify right side
   31,605x = 4,604,572,449
5. Step 5: Solve for x
   x = 4,604,572,449/31,605
6. Step 6: Final answer
   x = 145,691.27