Finding the Third Proportional to 3,112 and 4,116

Step by Step Solution

1. Step 1: Write the proportion equation
   3,112 : 4,116 = 4,116 : x
2. Step 2: Convert to fraction form
   3,112/4,116 = 4,116/x
3. Step 3: Cross multiply
   3,112x = 4,116 × 4,116
4. Step 4: Simplify right side
   3,112x = 16,941,456
5. Step 5: Solve for x
   x = 16,941,456/3,112
6. Step 6: Final answer
   x = 5,443.91