Finding the Third Proportional to 1,022 and 1,362

Step by Step Solution

1. Step 1: Write the proportion equation
   1,022 : 1,362 = 1,362 : x
2. Step 2: Convert to fraction form
   1,022/1,362 = 1,362/x
3. Step 3: Cross multiply
   1,022x = 1,362 × 1,362
4. Step 4: Simplify right side
   1,022x = 1,855,044
5. Step 5: Solve for x
   x = 1,855,044/1,022
6. Step 6: Final answer
   x = 1,815.11