Finding the Third Proportional to 6,500 and 14,016

Step by Step Solution

1. Step 1: Write the proportion equation
   6,500 : 14,016 = 14,016 : x
2. Step 2: Convert to fraction form
   6,500/14,016 = 14,016/x
3. Step 3: Cross multiply
   6,500x = 14,016 × 14,016
4. Step 4: Simplify right side
   6,500x = 196,448,256
5. Step 5: Solve for x
   x = 196,448,256/6,500
6. Step 6: Final answer
   x = 30,222.81