Finding the Third Proportional to 11,684 and 13,860

Step by Step Solution

1. Step 1: Write the proportion equation
   11,684 : 13,860 = 13,860 : x
2. Step 2: Convert to fraction form
   11,684/13,860 = 13,860/x
3. Step 3: Cross multiply
   11,684x = 13,860 × 13,860
4. Step 4: Simplify right side
   11,684x = 192,099,600
5. Step 5: Solve for x
   x = 192,099,600/11,684
6. Step 6: Final answer
   x = 16,441.25