Finding the Third Proportional to 5,002 and 5,818

Step by Step Solution

1. Step 1: Write the proportion equation
   5,002 : 5,818 = 5,818 : x
2. Step 2: Convert to fraction form
   5,002/5,818 = 5,818/x
3. Step 3: Cross multiply
   5,002x = 5,818 × 5,818
4. Step 4: Simplify right side
   5,002x = 33,849,124
5. Step 5: Solve for x
   x = 33,849,124/5,002
6. Step 6: Final answer
   x = 6,767.12