Finding the Third Proportional to 1,022 and 1,466

Step by Step Solution

1. Step 1: Write the proportion equation
   1,022 : 1,466 = 1,466 : x
2. Step 2: Convert to fraction form
   1,022/1,466 = 1,466/x
3. Step 3: Cross multiply
   1,022x = 1,466 × 1,466
4. Step 4: Simplify right side
   1,022x = 2,149,156
5. Step 5: Solve for x
   x = 2,149,156/1,022
6. Step 6: Final answer
   x = 2,102.89