Finding the Third Proportional to 1,908.56 and 4,082.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,908.56 : 4,082.06 = 4,082.06 : x
2. Step 2: Convert to fraction form
   1,908.56/4,082.06 = 4,082.06/x
3. Step 3: Cross multiply
   1,908.56x = 4,082.06 × 4,082.06
4. Step 4: Simplify right side
   1,908.56x = 16,663,234.25
5. Step 5: Solve for x
   x = 16,663,234.25/1,908.56
6. Step 6: Final answer
   x = 8,730.78