Finding the Third Proportional to 14,616 and 31,822

Step by Step Solution

1. Step 1: Write the proportion equation
   14,616 : 31,822 = 31,822 : x
2. Step 2: Convert to fraction form
   14,616/31,822 = 31,822/x
3. Step 3: Cross multiply
   14,616x = 31,822 × 31,822
4. Step 4: Simplify right side
   14,616x = 1,012,639,684
5. Step 5: Solve for x
   x = 1,012,639,684/14,616
6. Step 6: Final answer
   x = 69,282.96