To calculate the balance point on a seesaw-type beam, the distances from the pivot to the center of mass of each weight must be known. The relationship A * E = B * F holds true for a balanced beam, where A and B are the weights and E and F are their respective distances from the pivot. The user is specifically trying to determine the position of 'C' for proper handle placement to ensure balance when lifted. Accurate measurements of the weights' positions relative to the pivot are crucial for this calculation. Understanding these principles will help achieve the desired balance in the product design.