Finding the Third Proportional to 2,081.53 and 2,425.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,081.53 : 2,425.78 = 2,425.78 : x
2. Step 2: Convert to fraction form
   2,081.53/2,425.78 = 2,425.78/x
3. Step 3: Cross multiply
   2,081.53x = 2,425.78 × 2,425.78
4. Step 4: Simplify right side
   2,081.53x = 5,884,414.67
5. Step 5: Solve for x
   x = 5,884,414.67/2,081.53
6. Step 6: Final answer
   x = 2,826.96