Finding the Third Proportional to 11,684 and 18,002

Step by Step Solution

1. Step 1: Write the proportion equation
   11,684 : 18,002 = 18,002 : x
2. Step 2: Convert to fraction form
   11,684/18,002 = 18,002/x
3. Step 3: Cross multiply
   11,684x = 18,002 × 18,002
4. Step 4: Simplify right side
   11,684x = 324,072,004
5. Step 5: Solve for x
   x = 324,072,004/11,684
6. Step 6: Final answer
   x = 27,736.39