Finding the Third Proportional to 3,834 and 10,395

Step by Step Solution

1. Step 1: Write the proportion equation
   3,834 : 10,395 = 10,395 : x
2. Step 2: Convert to fraction form
   3,834/10,395 = 10,395/x
3. Step 3: Cross multiply
   3,834x = 10,395 × 10,395
4. Step 4: Simplify right side
   3,834x = 108,056,025
5. Step 5: Solve for x
   x = 108,056,025/3,834
6. Step 6: Final answer
   x = 28,183.63