Finding the Third Proportional to 31,686 and 67,617

Step by Step Solution

1. Step 1: Write the proportion equation
   31,686 : 67,617 = 67,617 : x
2. Step 2: Convert to fraction form
   31,686/67,617 = 67,617/x
3. Step 3: Cross multiply
   31,686x = 67,617 × 67,617
4. Step 4: Simplify right side
   31,686x = 4,572,058,689
5. Step 5: Solve for x
   x = 4,572,058,689/31,686
6. Step 6: Final answer
   x = 144,292.71