Finding the Third Proportional to 865.69 and 1,846.55

Step by Step Solution

1. Step 1: Write the proportion equation
   865.69 : 1,846.55 = 1,846.55 : x
2. Step 2: Convert to fraction form
   865.69/1,846.55 = 1,846.55/x
3. Step 3: Cross multiply
   865.69x = 1,846.55 × 1,846.55
4. Step 4: Simplify right side
   865.69x = 3,409,735.36
5. Step 5: Solve for x
   x = 3,409,735.36/865.69
6. Step 6: Final answer
   x = 3,938.76