Finding the Third Proportional to 4,626 and 7,078.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,626 : 7,078.50 = 7,078.50 : x
2. Step 2: Convert to fraction form
   4,626/7,078.50 = 7,078.50/x
3. Step 3: Cross multiply
   4,626x = 7,078.50 × 7,078.50
4. Step 4: Simplify right side
   4,626x = 50,105,162.25
5. Step 5: Solve for x
   x = 50,105,162.25/4,626
6. Step 6: Final answer
   x = 10,831.21