Finding the Third Proportional to 10,499.31 and 16,257.27

Step by Step Solution

1. Step 1: Write the proportion equation
   10,499.31 : 16,257.27 = 16,257.27 : x
2. Step 2: Convert to fraction form
   10,499.31/16,257.27 = 16,257.27/x
3. Step 3: Cross multiply
   10,499.31x = 16,257.27 × 16,257.27
4. Step 4: Simplify right side
   10,499.31x = 264,298,812.61
5. Step 5: Solve for x
   x = 264,298,812.61/10,499.31
6. Step 6: Final answer
   x = 25,172.97