Finding the Third Proportional to 13,002 and 18,530

Step by Step Solution

1. Step 1: Write the proportion equation
   13,002 : 18,530 = 18,530 : x
2. Step 2: Convert to fraction form
   13,002/18,530 = 18,530/x
3. Step 3: Cross multiply
   13,002x = 18,530 × 18,530
4. Step 4: Simplify right side
   13,002x = 343,360,900
5. Step 5: Solve for x
   x = 343,360,900/13,002
6. Step 6: Final answer
   x = 26,408.31