Finding the Third Proportional to 3,852 and 5,776.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,852 : 5,776.50 = 5,776.50 : x
2. Step 2: Convert to fraction form
   3,852/5,776.50 = 5,776.50/x
3. Step 3: Cross multiply
   3,852x = 5,776.50 × 5,776.50
4. Step 4: Simplify right side
   3,852x = 33,367,952.25
5. Step 5: Solve for x
   x = 33,367,952.25/3,852
6. Step 6: Final answer
   x = 8,662.50