Finding the Third Proportional to 774 and 1,103.25

Step by Step Solution

1. Step 1: Write the proportion equation
   774 : 1,103.25 = 1,103.25 : x
2. Step 2: Convert to fraction form
   774/1,103.25 = 1,103.25/x
3. Step 3: Cross multiply
   774x = 1,103.25 × 1,103.25
4. Step 4: Simplify right side
   774x = 1,217,160.56
5. Step 5: Solve for x
   x = 1,217,160.56/774
6. Step 6: Final answer
   x = 1,572.56