Finding the Third Proportional to 2,112 and 3,168.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,112 : 3,168.75 = 3,168.75 : x
2. Step 2: Convert to fraction form
   2,112/3,168.75 = 3,168.75/x
3. Step 3: Cross multiply
   2,112x = 3,168.75 × 3,168.75
4. Step 4: Simplify right side
   2,112x = 10,040,976.56
5. Step 5: Solve for x
   x = 10,040,976.56/2,112
6. Step 6: Final answer
   x = 4,754.25