Finding the Third Proportional to 14,214 and 31,016

Step by Step Solution

1. Step 1: Write the proportion equation
   14,214 : 31,016 = 31,016 : x
2. Step 2: Convert to fraction form
   14,214/31,016 = 31,016/x
3. Step 3: Cross multiply
   14,214x = 31,016 × 31,016
4. Step 4: Simplify right side
   14,214x = 961,992,256
5. Step 5: Solve for x
   x = 961,992,256/14,214
6. Step 6: Final answer
   x = 67,679.21