Finding the Third Proportional to 2,082.59 and 4,399.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,082.59 : 4,399.31 = 4,399.31 : x
2. Step 2: Convert to fraction form
   2,082.59/4,399.31 = 4,399.31/x
3. Step 3: Cross multiply
   2,082.59x = 4,399.31 × 4,399.31
4. Step 4: Simplify right side
   2,082.59x = 19,353,950.47
5. Step 5: Solve for x
   x = 19,353,950.47/2,082.59
6. Step 6: Final answer
   x = 9,293.23