Finding the Third Proportional to 2,565.75 and 5,632.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,565.75 : 5,632.75 = 5,632.75 : x
2. Step 2: Convert to fraction form
   2,565.75/5,632.75 = 5,632.75/x
3. Step 3: Cross multiply
   2,565.75x = 5,632.75 × 5,632.75
4. Step 4: Simplify right side
   2,565.75x = 31,727,872.56
5. Step 5: Solve for x
   x = 31,727,872.56/2,565.75
6. Step 6: Final answer
   x = 12,365.93