Finding the Third Proportional to 3,825 and 5,906.25

Step by Step Solution

1. Step 1: Write the proportion equation
   3,825 : 5,906.25 = 5,906.25 : x
2. Step 2: Convert to fraction form
   3,825/5,906.25 = 5,906.25/x
3. Step 3: Cross multiply
   3,825x = 5,906.25 × 5,906.25
4. Step 4: Simplify right side
   3,825x = 34,883,789.06
5. Step 5: Solve for x
   x = 34,883,789.06/3,825
6. Step 6: Final answer
   x = 9,119.94