Finding the Third Proportional to 8,072 and 17,401

Step by Step Solution

1. Step 1: Write the proportion equation
   8,072 : 17,401 = 17,401 : x
2. Step 2: Convert to fraction form
   8,072/17,401 = 17,401/x
3. Step 3: Cross multiply
   8,072x = 17,401 × 17,401
4. Step 4: Simplify right side
   8,072x = 302,794,801
5. Step 5: Solve for x
   x = 302,794,801/8,072
6. Step 6: Final answer
   x = 37,511.74