Hello, magentarita!
Another approach . . .
Consecutive odd integers "go up by two's".What is the largest of three consecutive odd integers if the product
of the first and third integers is 6 more than three times the second integer?
Let = the smallest odd integer.
Then are the next two odd integers.
. .
And we have: .
Solve the quadratic equation (and take the odd root).
And remember, they asked for the largest of the three.