Finding the Third Proportional to 1,249.59 and 2,082.47

Step by Step Solution

1. Step 1: Write the proportion equation
   1,249.59 : 2,082.47 = 2,082.47 : x
2. Step 2: Convert to fraction form
   1,249.59/2,082.47 = 2,082.47/x
3. Step 3: Cross multiply
   1,249.59x = 2,082.47 × 2,082.47
4. Step 4: Simplify right side
   1,249.59x = 4,336,676.09
5. Step 5: Solve for x
   x = 4,336,676.09/1,249.59
6. Step 6: Final answer
   x = 3,470.47