Generally, in these situations, the victim reports the theft
to the police. It is generally a good idea to bring copies of all the documents (such as bank and credit card statements) that help prove the theft. The police will then conduct an investigation
to determine if charges are warranted. Since these types of cases are fairly easy to prove it is likely that charges will be filed. They are then passed to the prosecutor's office for the filing of formal charges and the case then begins its way through the criminal court
The basic theft charge, because of the amount stolen, is a Class 2 felony punishable by 3-7 years in jail and/or a fine of $25,000. In a situation like this, the court would likely impose a small jail sentence
and suspend the rest in lieu of probation, where a condition of probation would be to make restitution to you in the amount stolen. There may also be some credit card fraud charges that are applicable here that could also be charged, but theft would be the major one here.
You could also bring a civil case against the person to try to recoup some of the money. Many victims just opt to proceed with the criminal case because the prosecutor does all the work and there are criminal penalties if the person does not comply with restitution. Other victims obtain a judgment just to have more leverage to try to recover some of the money. That is up to you, although since the amount exceeds small claims court you may want to consider getting a lawyer for that.