Finding the Third Proportional to 1,082.69 and 2,294.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,082.69 : 2,294.56 = 2,294.56 : x
2. Step 2: Convert to fraction form
   1,082.69/2,294.56 = 2,294.56/x
3. Step 3: Cross multiply
   1,082.69x = 2,294.56 × 2,294.56
4. Step 4: Simplify right side
   1,082.69x = 5,265,017.07
5. Step 5: Solve for x
   x = 5,265,017.07/1,082.69
6. Step 6: Final answer
   x = 4,862.91