Finding the Third Proportional to 865.69 and 2,008.55

Step by Step Solution

1. Step 1: Write the proportion equation
   865.69 : 2,008.55 = 2,008.55 : x
2. Step 2: Convert to fraction form
   865.69/2,008.55 = 2,008.55/x
3. Step 3: Cross multiply
   865.69x = 2,008.55 × 2,008.55
4. Step 4: Simplify right side
   865.69x = 4,034,260.55
5. Step 5: Solve for x
   x = 4,034,260.55/865.69
6. Step 6: Final answer
   x = 4,660.18