Finding the Third Proportional to 5,684 and 12,401

Step by Step Solution

1. Step 1: Write the proportion equation
   5,684 : 12,401 = 12,401 : x
2. Step 2: Convert to fraction form
   5,684/12,401 = 12,401/x
3. Step 3: Cross multiply
   5,684x = 12,401 × 12,401
4. Step 4: Simplify right side
   5,684x = 153,784,801
5. Step 5: Solve for x
   x = 153,784,801/5,684
6. Step 6: Final answer
   x = 27,055.74