Finding the Third Proportional to 1,087.59 and 2,540.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,087.59 : 2,540.53 = 2,540.53 : x
2. Step 2: Convert to fraction form
   1,087.59/2,540.53 = 2,540.53/x
3. Step 3: Cross multiply
   1,087.59x = 2,540.53 × 2,540.53
4. Step 4: Simplify right side
   1,087.59x = 6,454,299.03
5. Step 5: Solve for x
   x = 6,454,299.03/1,087.59
6. Step 6: Final answer
   x = 5,934.48