Finding the Third Proportional to 8,385 and 17,469

Step by Step Solution

1. Step 1: Write the proportion equation
   8,385 : 17,469 = 17,469 : x
2. Step 2: Convert to fraction form
   8,385/17,469 = 17,469/x
3. Step 3: Cross multiply
   8,385x = 17,469 × 17,469
4. Step 4: Simplify right side
   8,385x = 305,165,961
5. Step 5: Solve for x
   x = 305,165,961/8,385
6. Step 6: Final answer
   x = 36,394.27