Finding the Third Proportional to 2,082.38 and 4,456.13

Step by Step Solution

1. Step 1: Write the proportion equation
   2,082.38 : 4,456.13 = 4,456.13 : x
2. Step 2: Convert to fraction form
   2,082.38/4,456.13 = 4,456.13/x
3. Step 3: Cross multiply
   2,082.38x = 4,456.13 × 4,456.13
4. Step 4: Simplify right side
   2,082.38x = 19,857,050.02
5. Step 5: Solve for x
   x = 19,857,050.02/2,082.38
6. Step 6: Final answer
   x = 9,535.77