Finding the Third Proportional to 8,446 and 16,064

Step by Step Solution

1. Step 1: Write the proportion equation
   8,446 : 16,064 = 16,064 : x
2. Step 2: Convert to fraction form
   8,446/16,064 = 16,064/x
3. Step 3: Cross multiply
   8,446x = 16,064 × 16,064
4. Step 4: Simplify right side
   8,446x = 258,052,096
5. Step 5: Solve for x
   x = 258,052,096/8,446
6. Step 6: Final answer
   x = 30,553.17