Finding the Third Proportional to 14,584 and 31,496

Step by Step Solution

1. Step 1: Write the proportion equation
   14,584 : 31,496 = 31,496 : x
2. Step 2: Convert to fraction form
   14,584/31,496 = 31,496/x
3. Step 3: Cross multiply
   14,584x = 31,496 × 31,496
4. Step 4: Simplify right side
   14,584x = 991,998,016
5. Step 5: Solve for x
   x = 991,998,016/14,584
6. Step 6: Final answer
   x = 68,019.61