Finding the Third Proportional to 31,886 and 67,418

Step by Step Solution

1. Step 1: Write the proportion equation
   31,886 : 67,418 = 67,418 : x
2. Step 2: Convert to fraction form
   31,886/67,418 = 67,418/x
3. Step 3: Cross multiply
   31,886x = 67,418 × 67,418
4. Step 4: Simplify right side
   31,886x = 4,545,186,724
5. Step 5: Solve for x
   x = 4,545,186,724/31,886
6. Step 6: Final answer
   x = 142,544.90