Finding the Third Proportional to 3,852 and 5,504.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,852 : 5,504.50 = 5,504.50 : x
2. Step 2: Convert to fraction form
   3,852/5,504.50 = 5,504.50/x
3. Step 3: Cross multiply
   3,852x = 5,504.50 × 5,504.50
4. Step 4: Simplify right side
   3,852x = 30,299,520.25
5. Step 5: Solve for x
   x = 30,299,520.25/3,852
6. Step 6: Final answer
   x = 7,865.92