Finding the Third Proportional to 3,834 and 5,863.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,834 : 5,863.50 = 5,863.50 : x
2. Step 2: Convert to fraction form
   3,834/5,863.50 = 5,863.50/x
3. Step 3: Cross multiply
   3,834x = 5,863.50 × 5,863.50
4. Step 4: Simplify right side
   3,834x = 34,380,632.25
5. Step 5: Solve for x
   x = 34,380,632.25/3,834
6. Step 6: Final answer
   x = 8,967.30