Finding the Third Proportional to 2,042 and 5,078

Step by Step Solution

1. Step 1: Write the proportion equation
   2,042 : 5,078 = 5,078 : x
2. Step 2: Convert to fraction form
   2,042/5,078 = 5,078/x
3. Step 3: Cross multiply
   2,042x = 5,078 × 5,078
4. Step 4: Simplify right side
   2,042x = 25,786,084
5. Step 5: Solve for x
   x = 25,786,084/2,042
6. Step 6: Final answer
   x = 12,627.86