Finding the Third Proportional to 510.38 and 1,105.63

Step by Step Solution

1. Step 1: Write the proportion equation
   510.38 : 1,105.63 = 1,105.63 : x
2. Step 2: Convert to fraction form
   510.38/1,105.63 = 1,105.63/x
3. Step 3: Cross multiply
   510.38x = 1,105.63 × 1,105.63
4. Step 4: Simplify right side
   510.38x = 1,222,406.64
5. Step 5: Solve for x
   x = 1,222,406.64/510.38
6. Step 6: Final answer
   x = 2,395.11