Finding the Third Proportional to 2,022 and 2,680

Step by Step Solution

1. Step 1: Write the proportion equation
   2,022 : 2,680 = 2,680 : x
2. Step 2: Convert to fraction form
   2,022/2,680 = 2,680/x
3. Step 3: Cross multiply
   2,022x = 2,680 × 2,680
4. Step 4: Simplify right side
   2,022x = 7,182,400
5. Step 5: Solve for x
   x = 7,182,400/2,022
6. Step 6: Final answer
   x = 3,552.13