Finding the Third Proportional to 1,082.11 and 1,654.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,082.11 : 1,654.38 = 1,654.38 : x
2. Step 2: Convert to fraction form
   1,082.11/1,654.38 = 1,654.38/x
3. Step 3: Cross multiply
   1,082.11x = 1,654.38 × 1,654.38
4. Step 4: Simplify right side
   1,082.11x = 2,736,982.49
5. Step 5: Solve for x
   x = 2,736,982.49/1,082.11
6. Step 6: Final answer
   x = 2,529.30