Finding the Third Proportional to 14,598 and 31,662

Step by Step Solution

1. Step 1: Write the proportion equation
   14,598 : 31,662 = 31,662 : x
2. Step 2: Convert to fraction form
   14,598/31,662 = 31,662/x
3. Step 3: Cross multiply
   14,598x = 31,662 × 31,662
4. Step 4: Simplify right side
   14,598x = 1,002,482,244
5. Step 5: Solve for x
   x = 1,002,482,244/14,598
6. Step 6: Final answer
   x = 68,672.57