With 10,894 students enrolled, in what year was this private RU/VH institution located in Troy, New York founded?
CREATE TABLE "institutions" (
  "location" text,
  "control" text,
  "type" text,
  "enrollment" real,
  "founded" real
);
SELECT AVG("founded") FROM "institutions" WHERE "type"='ru/vh' AND "control"='private' AND "enrollment">'10,894' AND "location"='troy, new york';