Finding the Third Proportional to 8,242 and 16,065

Step by Step Solution

1. Step 1: Write the proportion equation
   8,242 : 16,065 = 16,065 : x
2. Step 2: Convert to fraction form
   8,242/16,065 = 16,065/x
3. Step 3: Cross multiply
   8,242x = 16,065 × 16,065
4. Step 4: Simplify right side
   8,242x = 258,084,225
5. Step 5: Solve for x
   x = 258,084,225/8,242
6. Step 6: Final answer
   x = 31,313.30