Finding the Third Proportional to 512.44 and 1,105.31

Step by Step Solution

1. Step 1: Write the proportion equation
   512.44 : 1,105.31 = 1,105.31 : x
2. Step 2: Convert to fraction form
   512.44/1,105.31 = 1,105.31/x
3. Step 3: Cross multiply
   512.44x = 1,105.31 × 1,105.31
4. Step 4: Simplify right side
   512.44x = 1,221,715.72
5. Step 5: Solve for x
   x = 1,221,715.72/512.44
6. Step 6: Final answer
   x = 2,384.13