Finding the Third Proportional to 3,828 and 5,908.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,828 : 5,908.50 = 5,908.50 : x
2. Step 2: Convert to fraction form
   3,828/5,908.50 = 5,908.50/x
3. Step 3: Cross multiply
   3,828x = 5,908.50 × 5,908.50
4. Step 4: Simplify right side
   3,828x = 34,910,372.25
5. Step 5: Solve for x
   x = 34,910,372.25/3,828
6. Step 6: Final answer
   x = 9,119.74