Finding the Third Proportional to 1,876.29 and 4,082.91

Step by Step Solution

1. Step 1: Write the proportion equation
   1,876.29 : 4,082.91 = 4,082.91 : x
2. Step 2: Convert to fraction form
   1,876.29/4,082.91 = 4,082.91/x
3. Step 3: Cross multiply
   1,876.29x = 4,082.91 × 4,082.91
4. Step 4: Simplify right side
   1,876.29x = 16,670,123.45
5. Step 5: Solve for x
   x = 16,670,123.45/1,876.29
6. Step 6: Final answer
   x = 8,884.62