Finding the Third Proportional to 2,078.16 and 3,112.17

Step by Step Solution

1. Step 1: Write the proportion equation
   2,078.16 : 3,112.17 = 3,112.17 : x
2. Step 2: Convert to fraction form
   2,078.16/3,112.17 = 3,112.17/x
3. Step 3: Cross multiply
   2,078.16x = 3,112.17 × 3,112.17
4. Step 4: Simplify right side
   2,078.16x = 9,685,613.78
5. Step 5: Solve for x
   x = 9,685,613.78/2,078.16
6. Step 6: Final answer
   x = 4,660.68