Finding the Third Proportional to 495 and 1,082.25

Step by Step Solution

1. Step 1: Write the proportion equation
   495 : 1,082.25 = 1,082.25 : x
2. Step 2: Convert to fraction form
   495/1,082.25 = 1,082.25/x
3. Step 3: Cross multiply
   495x = 1,082.25 × 1,082.25
4. Step 4: Simplify right side
   495x = 1,171,265.06
5. Step 5: Solve for x
   x = 1,171,265.06/495
6. Step 6: Final answer
   x = 2,366.19