Finding the Third Proportional to 10,838 and 16,184

Step by Step Solution

1. Step 1: Write the proportion equation
   10,838 : 16,184 = 16,184 : x
2. Step 2: Convert to fraction form
   10,838/16,184 = 16,184/x
3. Step 3: Cross multiply
   10,838x = 16,184 × 16,184
4. Step 4: Simplify right side
   10,838x = 261,921,856
5. Step 5: Solve for x
   x = 261,921,856/10,838
6. Step 6: Final answer
   x = 24,166.99