Finding the Third Proportional to 1,082.11 and 2,384.91

Step by Step Solution

1. Step 1: Write the proportion equation
   1,082.11 : 2,384.91 = 2,384.91 : x
2. Step 2: Convert to fraction form
   1,082.11/2,384.91 = 2,384.91/x
3. Step 3: Cross multiply
   1,082.11x = 2,384.91 × 2,384.91
4. Step 4: Simplify right side
   1,082.11x = 5,687,805.77
5. Step 5: Solve for x
   x = 5,687,805.77/1,082.11
6. Step 6: Final answer
   x = 5,256.22