Finding the Third Proportional to 2,082.09 and 4,398.05

Step by Step Solution

1. Step 1: Write the proportion equation
   2,082.09 : 4,398.05 = 4,398.05 : x
2. Step 2: Convert to fraction form
   2,082.09/4,398.05 = 4,398.05/x
3. Step 3: Cross multiply
   2,082.09x = 4,398.05 × 4,398.05
4. Step 4: Simplify right side
   2,082.09x = 19,342,816.31
5. Step 5: Solve for x
   x = 19,342,816.31/2,082.09
6. Step 6: Final answer
   x = 9,290.08