Finding the Third Proportional to 997.88 and 1,422

Step by Step Solution

1. Step 1: Write the proportion equation
   997.88 : 1,422 = 1,422 : x
2. Step 2: Convert to fraction form
   997.88/1,422 = 1,422/x
3. Step 3: Cross multiply
   997.88x = 1,422 × 1,422
4. Step 4: Simplify right side
   997.88x = 2,022,084
5. Step 5: Solve for x
   x = 2,022,084/997.88
6. Step 6: Final answer
   x = 2,026.39