Finding the Third Proportional to 8,401 and 13,832

Step by Step Solution

1. Step 1: Write the proportion equation
   8,401 : 13,832 = 13,832 : x
2. Step 2: Convert to fraction form
   8,401/13,832 = 13,832/x
3. Step 3: Cross multiply
   8,401x = 13,832 × 13,832
4. Step 4: Simplify right side
   8,401x = 191,324,224
5. Step 5: Solve for x
   x = 191,324,224/8,401
6. Step 6: Final answer
   x = 22,773.98