Finding the Third Proportional to 774.40 and 1,103.94

Step by Step Solution

1. Step 1: Write the proportion equation
   774.40 : 1,103.94 = 1,103.94 : x
2. Step 2: Convert to fraction form
   774.40/1,103.94 = 1,103.94/x
3. Step 3: Cross multiply
   774.40x = 1,103.94 × 1,103.94
4. Step 4: Simplify right side
   774.40x = 1,218,686.63
5. Step 5: Solve for x
   x = 1,218,686.63/774.40
6. Step 6: Final answer
   x = 1,573.71