Finding the Third Proportional to 3,456 and 8,016

Step by Step Solution

1. Step 1: Write the proportion equation
   3,456 : 8,016 = 8,016 : x
2. Step 2: Convert to fraction form
   3,456/8,016 = 8,016/x
3. Step 3: Cross multiply
   3,456x = 8,016 × 8,016
4. Step 4: Simplify right side
   3,456x = 64,256,256
5. Step 5: Solve for x
   x = 64,256,256/3,456
6. Step 6: Final answer
   x = 18,592.67