Finding the Third Proportional to 919.50 and 1,007.25

Step by Step Solution

1. Step 1: Write the proportion equation
   919.50 : 1,007.25 = 1,007.25 : x
2. Step 2: Convert to fraction form
   919.50/1,007.25 = 1,007.25/x
3. Step 3: Cross multiply
   919.50x = 1,007.25 × 1,007.25
4. Step 4: Simplify right side
   919.50x = 1,014,552.56
5. Step 5: Solve for x
   x = 1,014,552.56/919.50
6. Step 6: Final answer
   x = 1,103.37