Finding the Third Proportional to 2,002 and 5,131

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002 : 5,131 = 5,131 : x
2. Step 2: Convert to fraction form
   2,002/5,131 = 5,131/x
3. Step 3: Cross multiply
   2,002x = 5,131 × 5,131
4. Step 4: Simplify right side
   2,002x = 26,327,161
5. Step 5: Solve for x
   x = 26,327,161/2,002
6. Step 6: Final answer
   x = 13,150.43