Finding the Third Proportional to 2,565.38 and 4,018.13

Step by Step Solution

1. Step 1: Write the proportion equation
   2,565.38 : 4,018.13 = 4,018.13 : x
2. Step 2: Convert to fraction form
   2,565.38/4,018.13 = 4,018.13/x
3. Step 3: Cross multiply
   2,565.38x = 4,018.13 × 4,018.13
4. Step 4: Simplify right side
   2,565.38x = 16,145,328.52
5. Step 5: Solve for x
   x = 16,145,328.52/2,565.38
6. Step 6: Final answer
   x = 6,293.55