Finding the Third Proportional to 1,022 and 1,398

Step by Step Solution

1. Step 1: Write the proportion equation
   1,022 : 1,398 = 1,398 : x
2. Step 2: Convert to fraction form
   1,022/1,398 = 1,398/x
3. Step 3: Cross multiply
   1,022x = 1,398 × 1,398
4. Step 4: Simplify right side
   1,022x = 1,954,404
5. Step 5: Solve for x
   x = 1,954,404/1,022
6. Step 6: Final answer
   x = 1,912.33