Finding the Third Proportional to 2,789.69 and 3,825.28

Step by Step Solution

1. Step 1: Write the proportion equation
   2,789.69 : 3,825.28 = 3,825.28 : x
2. Step 2: Convert to fraction form
   2,789.69/3,825.28 = 3,825.28/x
3. Step 3: Cross multiply
   2,789.69x = 3,825.28 × 3,825.28
4. Step 4: Simplify right side
   2,789.69x = 14,632,776.64
5. Step 5: Solve for x
   x = 14,632,776.64/2,789.69
6. Step 6: Final answer
   x = 5,245.31