Finding the Third Proportional to 865.69 and 1,857.94

Step by Step Solution

1. Step 1: Write the proportion equation
   865.69 : 1,857.94 = 1,857.94 : x
2. Step 2: Convert to fraction form
   865.69/1,857.94 = 1,857.94/x
3. Step 3: Cross multiply
   865.69x = 1,857.94 × 1,857.94
4. Step 4: Simplify right side
   865.69x = 3,451,931.75
5. Step 5: Solve for x
   x = 3,451,931.75/865.69
6. Step 6: Final answer
   x = 3,987.50