Finding the Third Proportional to 16,016 and 34,402

Step by Step Solution

1. Step 1: Write the proportion equation
   16,016 : 34,402 = 34,402 : x
2. Step 2: Convert to fraction form
   16,016/34,402 = 34,402/x
3. Step 3: Cross multiply
   16,016x = 34,402 × 34,402
4. Step 4: Simplify right side
   16,016x = 1,183,497,604
5. Step 5: Solve for x
   x = 1,183,497,604/16,016
6. Step 6: Final answer
   x = 73,894.71