Finding the Third Proportional to 2,002 and 5,136

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002 : 5,136 = 5,136 : x
2. Step 2: Convert to fraction form
   2,002/5,136 = 5,136/x
3. Step 3: Cross multiply
   2,002x = 5,136 × 5,136
4. Step 4: Simplify right side
   2,002x = 26,378,496
5. Step 5: Solve for x
   x = 26,378,496/2,002
6. Step 6: Final answer
   x = 13,176.07