Finding the Third Proportional to 2,576.25 and 3,825

Step by Step Solution

1. Step 1: Write the proportion equation
   2,576.25 : 3,825 = 3,825 : x
2. Step 2: Convert to fraction form
   2,576.25/3,825 = 3,825/x
3. Step 3: Cross multiply
   2,576.25x = 3,825 × 3,825
4. Step 4: Simplify right side
   2,576.25x = 14,630,625
5. Step 5: Solve for x
   x = 14,630,625/2,576.25
6. Step 6: Final answer
   x = 5,679.04