Word: E Q U A L I T Y 
Positions: 1 2 3 4 5 6 7 8 
Step 1: Swap 1st and 5th letters: E \(\leftrightarrow\) L 
New positions: L Q U A E I T Y 
Step 2: Swap 2nd and 6th letters: Q \(\leftrightarrow\) I 
New positions: L I U A E Q T Y 
Step 3: Swap 3rd and 7th letters: U \(\leftrightarrow\) T 
New positions: L I T A E Q U Y 
Step 4: Swap 4th and 8th letters: A \(\leftrightarrow\) Y 
New positions: L I T Y E Q U A 
Step 5: Find the third letter from the right end: 
Letters from right end: A (1st), U (2nd), Q (3rd) 
Hence, the letter is \(\boxed{Q}\).