Finding the Third Proportional to 774.75 and 1,067.25

Step by Step Solution

1. Step 1: Write the proportion equation
   774.75 : 1,067.25 = 1,067.25 : x
2. Step 2: Convert to fraction form
   774.75/1,067.25 = 1,067.25/x
3. Step 3: Cross multiply
   774.75x = 1,067.25 × 1,067.25
4. Step 4: Simplify right side
   774.75x = 1,139,022.56
5. Step 5: Solve for x
   x = 1,139,022.56/774.75
6. Step 6: Final answer
   x = 1,470.18