Directions: A word/number arrangement machine is given an input line of words…

Directions: A word/number arrangement machine is given an input line of words and numbers; it arranges them following a particular rule in each step. The following is an illustration of input and its arrangement:

Input: triangle 45 38 galaxy 93 puzzle 27 velocity rhythm 84

Step I: 88 triangle 45 38 puzzle 27 velocity rhythm 84 aaglxy

Step II: 87 88 triangle 45 38 27 velocity rhythm aaglxy eulpzz

Step III: 40 87 88 triangle 38 27 velocity aaglxy eulpzz hhmrty

Step IV: 41 40 87 88 27 velocity aaglxy eulpzz hhmrty aeiglnrt

Step V: 22 41 40 87 88 aaglxy eulpzz hhmrty aeiglnrt eiocltvy

Based on the above example, rearrange the below input:

Input: shadow 74 19 magnet 52 forest 68 bridge whistle 31

Find the square of the 2nd highest number in Step III.