Finding the Third Proportional to 13,184 and 16,016

Step by Step Solution

1. Step 1: Write the proportion equation
   13,184 : 16,016 = 16,016 : x
2. Step 2: Convert to fraction form
   13,184/16,016 = 16,016/x
3. Step 3: Cross multiply
   13,184x = 16,016 × 16,016
4. Step 4: Simplify right side
   13,184x = 256,512,256
5. Step 5: Solve for x
   x = 256,512,256/13,184
6. Step 6: Final answer
   x = 19,456.33