Finding the Third Proportional to 2,256.75 and 5,565.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,256.75 : 5,565.38 = 5,565.38 : x
2. Step 2: Convert to fraction form
   2,256.75/5,565.38 = 5,565.38/x
3. Step 3: Cross multiply
   2,256.75x = 5,565.38 × 5,565.38
4. Step 4: Simplify right side
   2,256.75x = 30,973,398.89
5. Step 5: Solve for x
   x = 30,973,398.89/2,256.75
6. Step 6: Final answer
   x = 13,724.78