Finding the Third Proportional to 2,834 and 3,816

Step by Step Solution

1. Step 1: Write the proportion equation
   2,834 : 3,816 = 3,816 : x
2. Step 2: Convert to fraction form
   2,834/3,816 = 3,816/x
3. Step 3: Cross multiply
   2,834x = 3,816 × 3,816
4. Step 4: Simplify right side
   2,834x = 14,561,856
5. Step 5: Solve for x
   x = 14,561,856/2,834
6. Step 6: Final answer
   x = 5,138.27