Finding the Third Proportional to 2,540.25 and 3,371.53

Step by Step Solution

1. Step 1: Write the proportion equation
   2,540.25 : 3,371.53 = 3,371.53 : x
2. Step 2: Convert to fraction form
   2,540.25/3,371.53 = 3,371.53/x
3. Step 3: Cross multiply
   2,540.25x = 3,371.53 × 3,371.53
4. Step 4: Simplify right side
   2,540.25x = 11,367,222.97
5. Step 5: Solve for x
   x = 11,367,222.97/2,540.25
6. Step 6: Final answer
   x = 4,474.84