How to find the third largest number without sort() method in an array dart language ?

 Find the third largest number without sort() method

// this the main() function of dart 

void main() {

  List<int> numbers = [10, 5, 8, 20, 15];

  // Ensure the array has at least three elements

  if (numbers.length < 3) {

    print("Array should have at least three elements");

    return;

  }

  int findThirdLargest(List<int> arr) {

    int firstMax = arr.removeAt(arr.indexOf(arr.reduce((a, b) => a > b ? a : b)));

    int secondMax = arr.removeAt(arr.indexOf(arr.reduce((a, b) => a > b ? a : b)));

    int thirdMax = arr.reduce((a, b) => a > b ? a : b);

    return thirdMax;

  }

  int thirdLargest = findThirdLargest(List.from(numbers));

  print("The third largest number is: $thirdLargest");

}