Finding the Third Proportional to 865.69 and 1,827.56

Step by Step Solution

1. Step 1: Write the proportion equation
   865.69 : 1,827.56 = 1,827.56 : x
2. Step 2: Convert to fraction form
   865.69/1,827.56 = 1,827.56/x
3. Step 3: Cross multiply
   865.69x = 1,827.56 × 1,827.56
4. Step 4: Simplify right side
   865.69x = 3,339,984.69
5. Step 5: Solve for x
   x = 3,339,984.69/865.69
6. Step 6: Final answer
   x = 3,858.19