Finding the Third Proportional to 3,852 and 5,976.25

Step by Step Solution

1. Step 1: Write the proportion equation
   3,852 : 5,976.25 = 5,976.25 : x
2. Step 2: Convert to fraction form
   3,852/5,976.25 = 5,976.25/x
3. Step 3: Cross multiply
   3,852x = 5,976.25 × 5,976.25
4. Step 4: Simplify right side
   3,852x = 35,715,564.06
5. Step 5: Solve for x
   x = 35,715,564.06/3,852
6. Step 6: Final answer
   x = 9,271.95