Finding the Third Proportional to 3,045.38 and 4,082.06

Step by Step Solution

1. Step 1: Write the proportion equation
   3,045.38 : 4,082.06 = 4,082.06 : x
2. Step 2: Convert to fraction form
   3,045.38/4,082.06 = 4,082.06/x
3. Step 3: Cross multiply
   3,045.38x = 4,082.06 × 4,082.06
4. Step 4: Simplify right side
   3,045.38x = 16,663,234.25
5. Step 5: Solve for x
   x = 16,663,234.25/3,045.38
6. Step 6: Final answer
   x = 5,471.65