Finding the Third Proportional to 2,822 and 3,876

Step by Step Solution

1. Step 1: Write the proportion equation
   2,822 : 3,876 = 3,876 : x
2. Step 2: Convert to fraction form
   2,822/3,876 = 3,876/x
3. Step 3: Cross multiply
   2,822x = 3,876 × 3,876
4. Step 4: Simplify right side
   2,822x = 15,023,376
5. Step 5: Solve for x
   x = 15,023,376/2,822
6. Step 6: Final answer
   x = 5,323.66