Finding the Third Proportional to 5,002 and 10,165

Step by Step Solution

1. Step 1: Write the proportion equation
   5,002 : 10,165 = 10,165 : x
2. Step 2: Convert to fraction form
   5,002/10,165 = 10,165/x
3. Step 3: Cross multiply
   5,002x = 10,165 × 10,165
4. Step 4: Simplify right side
   5,002x = 103,327,225
5. Step 5: Solve for x
   x = 103,327,225/5,002
6. Step 6: Final answer
   x = 20,657.18