Finding the Third Proportional to 10,757.25 and 16,617.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,757.25 : 16,617.38 = 16,617.38 : x
2. Step 2: Convert to fraction form
   10,757.25/16,617.38 = 16,617.38/x
3. Step 3: Cross multiply
   10,757.25x = 16,617.38 × 16,617.38
4. Step 4: Simplify right side
   10,757.25x = 276,137,151.89
5. Step 5: Solve for x
   x = 276,137,151.89/10,757.25
6. Step 6: Final answer
   x = 25,669.86