Finding the Third Proportional to 538.69 and 1,023.38

Step by Step Solution

1. Step 1: Write the proportion equation
   538.69 : 1,023.38 = 1,023.38 : x
2. Step 2: Convert to fraction form
   538.69/1,023.38 = 1,023.38/x
3. Step 3: Cross multiply
   538.69x = 1,023.38 × 1,023.38
4. Step 4: Simplify right side
   538.69x = 1,047,296.39
5. Step 5: Solve for x
   x = 1,047,296.39/538.69
6. Step 6: Final answer
   x = 1,944.16