Finding the Third Proportional to 1,298 and 1,422

Step by Step Solution

1. Step 1: Write the proportion equation
   1,298 : 1,422 = 1,422 : x
2. Step 2: Convert to fraction form
   1,298/1,422 = 1,422/x
3. Step 3: Cross multiply
   1,298x = 1,422 × 1,422
4. Step 4: Simplify right side
   1,298x = 2,022,084
5. Step 5: Solve for x
   x = 2,022,084/1,298
6. Step 6: Final answer
   x = 1,557.85