Finding the Third Proportional to 2,565.50 and 4,131.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,565.50 : 4,131.75 = 4,131.75 : x
2. Step 2: Convert to fraction form
   2,565.50/4,131.75 = 4,131.75/x
3. Step 3: Cross multiply
   2,565.50x = 4,131.75 × 4,131.75
4. Step 4: Simplify right side
   2,565.50x = 17,071,358.06
5. Step 5: Solve for x
   x = 17,071,358.06/2,565.50
6. Step 6: Final answer
   x = 6,654.20