Finding the Third Proportional to 1,348.31 and 2,082.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,348.31 : 2,082.38 = 2,082.38 : x
2. Step 2: Convert to fraction form
   1,348.31/2,082.38 = 2,082.38/x
3. Step 3: Cross multiply
   1,348.31x = 2,082.38 × 2,082.38
4. Step 4: Simplify right side
   1,348.31x = 4,336,285.64
5. Step 5: Solve for x
   x = 4,336,285.64/1,348.31
6. Step 6: Final answer
   x = 3,216.08