Final answer:
The central part of a fleshy fruit is called the pulp, which is the edible fleshy middle layer of the fruit, commonly known as the mesocarp.
Step-by-step explanation:
The central part of a fleshy fruit is referred to as the pulp. This is the part of the fruit known as the mesocarp, which is the edible fleshy middle layer between the exocarp (outer skin) and the endocarp (innermost part). In many fruits, the mesocarp is what we consume when we eat fruits like apples, peaches, or berries. The mesocarp, endocarp, and exocarp are together known as the pericarp. While some fruits may have the edible part as the endocarp, such as almonds, in most typical fleshy fruits, it is the mesocarp that is called the pulp.