Finding the Third Proportional to 3,825 and 5,519.25

Step by Step Solution

1. Step 1: Write the proportion equation
   3,825 : 5,519.25 = 5,519.25 : x
2. Step 2: Convert to fraction form
   3,825/5,519.25 = 5,519.25/x
3. Step 3: Cross multiply
   3,825x = 5,519.25 × 5,519.25
4. Step 4: Simplify right side
   3,825x = 30,462,120.56
5. Step 5: Solve for x
   x = 30,462,120.56/3,825
6. Step 6: Final answer
   x = 7,963.95