Finding the Third Proportional to 10,466 and 16,098

Step by Step Solution

1. Step 1: Write the proportion equation
   10,466 : 16,098 = 16,098 : x
2. Step 2: Convert to fraction form
   10,466/16,098 = 16,098/x
3. Step 3: Cross multiply
   10,466x = 16,098 × 16,098
4. Step 4: Simplify right side
   10,466x = 259,145,604
5. Step 5: Solve for x
   x = 259,145,604/10,466
6. Step 6: Final answer
   x = 24,760.71