Finding the Third Proportional to 11,324.25 and 16,165.69

Step by Step Solution

1. Step 1: Write the proportion equation
   11,324.25 : 16,165.69 = 16,165.69 : x
2. Step 2: Convert to fraction form
   11,324.25/16,165.69 = 16,165.69/x
3. Step 3: Cross multiply
   11,324.25x = 16,165.69 × 16,165.69
4. Step 4: Simplify right side
   11,324.25x = 261,329,452.35
5. Step 5: Solve for x
   x = 261,329,452.35/11,324.25
6. Step 6: Final answer
   x = 23,076.98