Finding the Third Proportional to 2,581.88 and 3,265.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,581.88 : 3,265.31 = 3,265.31 : x
2. Step 2: Convert to fraction form
   2,581.88/3,265.31 = 3,265.31/x
3. Step 3: Cross multiply
   2,581.88x = 3,265.31 × 3,265.31
4. Step 4: Simplify right side
   2,581.88x = 10,662,265.72
5. Step 5: Solve for x
   x = 10,662,265.72/2,581.88
6. Step 6: Final answer
   x = 4,129.66