Finding the Third Proportional to 11,680 and 16,192

Step by Step Solution

1. Step 1: Write the proportion equation
   11,680 : 16,192 = 16,192 : x
2. Step 2: Convert to fraction form
   11,680/16,192 = 16,192/x
3. Step 3: Cross multiply
   11,680x = 16,192 × 16,192
4. Step 4: Simplify right side
   11,680x = 262,180,864
5. Step 5: Solve for x
   x = 262,180,864/11,680
6. Step 6: Final answer
   x = 22,446.99