Finding the Third Proportional to 2,122 and 2,422

Step by Step Solution

1. Step 1: Write the proportion equation
   2,122 : 2,422 = 2,422 : x
2. Step 2: Convert to fraction form
   2,122/2,422 = 2,422/x
3. Step 3: Cross multiply
   2,122x = 2,422 × 2,422
4. Step 4: Simplify right side
   2,122x = 5,866,084
5. Step 5: Solve for x
   x = 5,866,084/2,122
6. Step 6: Final answer
   x = 2,764.41