In a process, the number of cycles to failure decreases exponentially with an increase in load. At a load of $80$ units, it takes $100$ cycles for failure. When the load is halved, it takes $10000$ cycles for failure. The load for which the failure will happen in $5000$ cycles is _______.

1. $40.00$
2. $46.02$
3. $60.01$
4. $92.02$