Finding the Third Proportional to 8,401 and 17,864

Step by Step Solution

1. Step 1: Write the proportion equation
   8,401 : 17,864 = 17,864 : x
2. Step 2: Convert to fraction form
   8,401/17,864 = 17,864/x
3. Step 3: Cross multiply
   8,401x = 17,864 × 17,864
4. Step 4: Simplify right side
   8,401x = 319,122,496
5. Step 5: Solve for x
   x = 319,122,496/8,401
6. Step 6: Final answer
   x = 37,986.25