Finding the Third Proportional to 865.50 and 1,852.50

Step by Step Solution

1. Step 1: Write the proportion equation
   865.50 : 1,852.50 = 1,852.50 : x
2. Step 2: Convert to fraction form
   865.50/1,852.50 = 1,852.50/x
3. Step 3: Cross multiply
   865.50x = 1,852.50 × 1,852.50
4. Step 4: Simplify right side
   865.50x = 3,431,756.25
5. Step 5: Solve for x
   x = 3,431,756.25/865.50
6. Step 6: Final answer
   x = 3,965.06