Finding the Third Proportional to 865 and 1,863.50

Step by Step Solution

1. Step 1: Write the proportion equation
   865 : 1,863.50 = 1,863.50 : x
2. Step 2: Convert to fraction form
   865/1,863.50 = 1,863.50/x
3. Step 3: Cross multiply
   865x = 1,863.50 × 1,863.50
4. Step 4: Simplify right side
   865x = 3,472,632.25
5. Step 5: Solve for x
   x = 3,472,632.25/865
6. Step 6: Final answer
   x = 4,014.60