Finding the Third Proportional to 3,828 and 10,339.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,828 : 10,339.50 = 10,339.50 : x
2. Step 2: Convert to fraction form
   3,828/10,339.50 = 10,339.50/x
3. Step 3: Cross multiply
   3,828x = 10,339.50 × 10,339.50
4. Step 4: Simplify right side
   3,828x = 106,905,260.25
5. Step 5: Solve for x
   x = 106,905,260.25/3,828
6. Step 6: Final answer
   x = 27,927.18