Finding the Third Proportional to 14,616 and 31,570

Step by Step Solution

1. Step 1: Write the proportion equation
   14,616 : 31,570 = 31,570 : x
2. Step 2: Convert to fraction form
   14,616/31,570 = 31,570/x
3. Step 3: Cross multiply
   14,616x = 31,570 × 31,570
4. Step 4: Simplify right side
   14,616x = 996,664,900
5. Step 5: Solve for x
   x = 996,664,900/14,616
6. Step 6: Final answer
   x = 68,189.99