Finding the Third Proportional to 16,016 and 34,736

Step by Step Solution

1. Step 1: Write the proportion equation
   16,016 : 34,736 = 34,736 : x
2. Step 2: Convert to fraction form
   16,016/34,736 = 34,736/x
3. Step 3: Cross multiply
   16,016x = 34,736 × 34,736
4. Step 4: Simplify right side
   16,016x = 1,206,589,696
5. Step 5: Solve for x
   x = 1,206,589,696/16,016
6. Step 6: Final answer
   x = 75,336.52