Finding the Third Proportional to 785.25 and 1,422

Step by Step Solution

1. Step 1: Write the proportion equation
   785.25 : 1,422 = 1,422 : x
2. Step 2: Convert to fraction form
   785.25/1,422 = 1,422/x
3. Step 3: Cross multiply
   785.25x = 1,422 × 1,422
4. Step 4: Simplify right side
   785.25x = 2,022,084
5. Step 5: Solve for x
   x = 2,022,084/785.25
6. Step 6: Final answer
   x = 2,575.08