Finding the Third Proportional to 5,802 and 14,016

Step by Step Solution

1. Step 1: Write the proportion equation
   5,802 : 14,016 = 14,016 : x
2. Step 2: Convert to fraction form
   5,802/14,016 = 14,016/x
3. Step 3: Cross multiply
   5,802x = 14,016 × 14,016
4. Step 4: Simplify right side
   5,802x = 196,448,256
5. Step 5: Solve for x
   x = 196,448,256/5,802
6. Step 6: Final answer
   x = 33,858.71