Finding the Third Proportional to 1,022 and 1,382

Step by Step Solution

1. Step 1: Write the proportion equation
   1,022 : 1,382 = 1,382 : x
2. Step 2: Convert to fraction form
   1,022/1,382 = 1,382/x
3. Step 3: Cross multiply
   1,022x = 1,382 × 1,382
4. Step 4: Simplify right side
   1,022x = 1,909,924
5. Step 5: Solve for x
   x = 1,909,924/1,022
6. Step 6: Final answer
   x = 1,868.81