Finding the Third Proportional to 510.25 and 1,105.38

Step by Step Solution

1. Step 1: Write the proportion equation
   510.25 : 1,105.38 = 1,105.38 : x
2. Step 2: Convert to fraction form
   510.25/1,105.38 = 1,105.38/x
3. Step 3: Cross multiply
   510.25x = 1,105.38 × 1,105.38
4. Step 4: Simplify right side
   510.25x = 1,221,853.89
5. Step 5: Solve for x
   x = 1,221,853.89/510.25
6. Step 6: Final answer
   x = 2,394.62