Finding the Third Proportional to 2,565.75 and 5,540.81

Step by Step Solution

1. Step 1: Write the proportion equation
   2,565.75 : 5,540.81 = 5,540.81 : x
2. Step 2: Convert to fraction form
   2,565.75/5,540.81 = 5,540.81/x
3. Step 3: Cross multiply
   2,565.75x = 5,540.81 × 5,540.81
4. Step 4: Simplify right side
   2,565.75x = 30,700,603.16
5. Step 5: Solve for x
   x = 30,700,603.16/2,565.75
6. Step 6: Final answer
   x = 11,965.55