Finding the Third Proportional to 1,022 and 1,562

Step by Step Solution

1. Step 1: Write the proportion equation
   1,022 : 1,562 = 1,562 : x
2. Step 2: Convert to fraction form
   1,022/1,562 = 1,562/x
3. Step 3: Cross multiply
   1,022x = 1,562 × 1,562
4. Step 4: Simplify right side
   1,022x = 2,439,844
5. Step 5: Solve for x
   x = 2,439,844/1,022
6. Step 6: Final answer
   x = 2,387.32