Finding the Third Proportional to 865.27 and 2,034.28

Step by Step Solution

1. Step 1: Write the proportion equation
   865.27 : 2,034.28 = 2,034.28 : x
2. Step 2: Convert to fraction form
   865.27/2,034.28 = 2,034.28/x
3. Step 3: Cross multiply
   865.27x = 2,034.28 × 2,034.28
4. Step 4: Simplify right side
   865.27x = 4,138,300.20
5. Step 5: Solve for x
   x = 4,138,300.20/865.27
6. Step 6: Final answer
   x = 4,782.69