Are analogical middle terms sufficient for a valid demonstration?

[Geremia]

Fr. William A. Wallace, O.P., in "Thomism and the Quantum Enigma," The Thomist 61 (1997): 455–468, claims that

analogical middle terms are sufficient for a valid demonstration

and that this is

a teaching that is distinctive of Thomism

that other Scholastic schools do not uphold.

How do Thomists justify that "analogical middle terms are sufficient for a valid demonstration"?

(cf. this on "mixed sciences" or scientia media, this Philosophy.StackExchange.com question, and this StackExchange  answer)