Finding the Third Proportional to 2,268.75 and 3,565.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,268.75 : 3,565.31 = 3,565.31 : x
2. Step 2: Convert to fraction form
   2,268.75/3,565.31 = 3,565.31/x
3. Step 3: Cross multiply
   2,268.75x = 3,565.31 × 3,565.31
4. Step 4: Simplify right side
   2,268.75x = 12,711,453.22
5. Step 5: Solve for x
   x = 12,711,453.22/2,268.75
6. Step 6: Final answer
   x = 5,602.84