Finding the Third Proportional to 31,689 and 68,058

Step by Step Solution

1. Step 1: Write the proportion equation
   31,689 : 68,058 = 68,058 : x
2. Step 2: Convert to fraction form
   31,689/68,058 = 68,058/x
3. Step 3: Cross multiply
   31,689x = 68,058 × 68,058
4. Step 4: Simplify right side
   31,689x = 4,631,891,364
5. Step 5: Solve for x
   x = 4,631,891,364/31,689
6. Step 6: Final answer
   x = 146,167.17