Final answer:
Without Clemson's specific academic policies, it is assumed that Lake must raise their cumulative GPA to a general standard of 2.0 to enroll in the next semester, but the exact GPA needed is not provided.
Step-by-step explanation:
The student, Lake Smartwell, needs to know the minimum cumulative grade point average (GPA) required to enroll for the next semester at Clemson after achieving a GPA of 1.79 at the end of fall 2021, which is Lake's third semester.
Unfortunately, without the policy details of Clemson regarding academic probation or minimum GPA requirements, we cannot specify the exact GPA needed. However, most universities require a minimum cumulative GPA of 2.0 to be in good academic standing. Given this general standard, Lake would need to improve their GPA to at least 2.0 by the end of fall 2021 to be eligible to enroll for the spring 2022 term.
To calculate the grades needed to achieve this, we would need to know the number of credit hours Lake will attempt in their upcoming courses and the grades they'll need to earn to raise their GPA to 2.0.