Finding the Third Proportional to 16,016 and 34,345

Step by Step Solution

1. Step 1: Write the proportion equation
   16,016 : 34,345 = 34,345 : x
2. Step 2: Convert to fraction form
   16,016/34,345 = 34,345/x
3. Step 3: Cross multiply
   16,016x = 34,345 × 34,345
4. Step 4: Simplify right side
   16,016x = 1,179,579,025
5. Step 5: Solve for x
   x = 1,179,579,025/16,016
6. Step 6: Final answer
   x = 73,650.04