Simple lexicography

Lexi.java

import java.util.Scanner;

public class Lexi {
    public static void main(String[] args) {

    	Scanner reader = new Scanner(System.in);
    	System.out.println("Please enter your FIRST word: ");
    	String inputA = reader.next();
    	System.out.println("Please enter your SECOND word: ");
    	String inputB = reader.next();
    	System.out.println("Please enter your THIRD word: ");
    	String inputC = reader.next();
    	System.out.println("\nYour inputs were: " + inputA + " " + inputB + " " + inputC);

    	String largest = null;
    	String medium = null;
    	String smallest = null;

    	if(inputA.compareTo(inputB) > 0){
    		largest = inputA;
    		smallest = inputB;
    	} else {
    		largest = inputB;
    		smallest = inputA;
    	}

    	if(inputC.compareTo(largest) > 0){
    		largest = inputC;
    	}

    	if(smallest.compareTo(inputC) > 0){
    		smallest = inputC;
    	}

    	if (inputA.equals(largest) == false && inputA.equals(smallest) == false) {
    		medium = inputA;
    	} else if (inputB.equals(largest) == false && inputB.equals(smallest) == false){
    		medium = inputB;
    	} else {
    		medium = inputC;
    	}

    	System.out.println("\nResults are:\n" + "Smallest: " + smallest + " Medium: " + medium + " Largest: " + largest);
    }
}