She has: \(98\cdot5=490\left(strokes\right)\) on her first 5 rounds.

She has: \(92\cdot\left(5+3\right)=736\left(strokes\right)\)

So she need to have: \(\left(736-490\right):3=82\left(strokes\right)\) each round to have the average total 92 strokes.

ANSWER: 82 strokes