Finding the Third Proportional to 5,002 and 7,910

Step by Step Solution

1. Step 1: Write the proportion equation
   5,002 : 7,910 = 7,910 : x
2. Step 2: Convert to fraction form
   5,002/7,910 = 7,910/x
3. Step 3: Cross multiply
   5,002x = 7,910 × 7,910
4. Step 4: Simplify right side
   5,002x = 62,568,100
5. Step 5: Solve for x
   x = 62,568,100/5,002
6. Step 6: Final answer
   x = 12,508.62