Finding the Third Proportional to 6,401 and 13,984

Step by Step Solution

1. Step 1: Write the proportion equation
   6,401 : 13,984 = 13,984 : x
2. Step 2: Convert to fraction form
   6,401/13,984 = 13,984/x
3. Step 3: Cross multiply
   6,401x = 13,984 × 13,984
4. Step 4: Simplify right side
   6,401x = 195,552,256
5. Step 5: Solve for x
   x = 195,552,256/6,401
6. Step 6: Final answer
   x = 30,550.27