Finding the Third Proportional to 2,832 and 4,116

Step by Step Solution

1. Step 1: Write the proportion equation
   2,832 : 4,116 = 4,116 : x
2. Step 2: Convert to fraction form
   2,832/4,116 = 4,116/x
3. Step 3: Cross multiply
   2,832x = 4,116 × 4,116
4. Step 4: Simplify right side
   2,832x = 16,941,456
5. Step 5: Solve for x
   x = 16,941,456/2,832
6. Step 6: Final answer
   x = 5,982.15