Finding the Third Proportional to 10,565.58 and 16,351.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,565.58 : 16,351.38 = 16,351.38 : x
2. Step 2: Convert to fraction form
   10,565.58/16,351.38 = 16,351.38/x
3. Step 3: Cross multiply
   10,565.58x = 16,351.38 × 16,351.38
4. Step 4: Simplify right side
   10,565.58x = 267,367,719.88
5. Step 5: Solve for x
   x = 267,367,719.88/10,565.58
6. Step 6: Final answer
   x = 25,305.55