Finding the Third Proportional to 2,565.38 and 3,301.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,565.38 : 3,301.31 = 3,301.31 : x
2. Step 2: Convert to fraction form
   2,565.38/3,301.31 = 3,301.31/x
3. Step 3: Cross multiply
   2,565.38x = 3,301.31 × 3,301.31
4. Step 4: Simplify right side
   2,565.38x = 10,898,664.22
5. Step 5: Solve for x
   x = 10,898,664.22/2,565.38
6. Step 6: Final answer
   x = 4,248.37