Finding the Third Proportional to 8,380 and 17,449

Step by Step Solution

1. Step 1: Write the proportion equation
   8,380 : 17,449 = 17,449 : x
2. Step 2: Convert to fraction form
   8,380/17,449 = 17,449/x
3. Step 3: Cross multiply
   8,380x = 17,449 × 17,449
4. Step 4: Simplify right side
   8,380x = 304,467,601
5. Step 5: Solve for x
   x = 304,467,601/8,380
6. Step 6: Final answer
   x = 36,332.65