Finding the Third Proportional to 865.41 and 1,853.86

Step by Step Solution

1. Step 1: Write the proportion equation
   865.41 : 1,853.86 = 1,853.86 : x
2. Step 2: Convert to fraction form
   865.41/1,853.86 = 1,853.86/x
3. Step 3: Cross multiply
   865.41x = 1,853.86 × 1,853.86
4. Step 4: Simplify right side
   865.41x = 3,436,794.58
5. Step 5: Solve for x
   x = 3,436,794.58/865.41
6. Step 6: Final answer
   x = 3,971.31