What should be done after giving backslaps to a choking infant?

After giving backslaps to a choking infant, the next appropriate step is to perform 5 chest thrusts. This technique is effective because it can help to expel the obstruction from the infant's airway. The backslaps are intended to create sudden pressure to dislodge the foreign object, and if they do not work, chest thrusts serve as a subsequent method to increase the likelihood of removing the blockage.

In this emergency situation, it is crucial to follow a sequence of steps that can progressively aid in relieving the choking. Following the chest thrusts, it is essential to check for breathing, but first, it is vital to attempt to dislodge the object. Calling for help and loosening clothing are important steps in a broader emergency response, but they do not directly address the immediate need to clear the airway obstruction. Thus, the chest thrusts are specifically indicated following the backslaps.