Step 1: Recall the definition of GC content.
GC content represents the percentage of nitrogenous bases that are either guanine (\(G\)) or cytosine (\(C\)) in DNA.
\[
\text{GC content}=
\frac{\text{Number of G and C bases}}{\text{Total number of bases}}
\times 100
\]
Step 2: Write the given DNA sequence.
GCTGTAACGATAGCACGC
Step 3: Count the total number of nucleotides.
The sequence contains
\[
18
\]
nucleotides.
Step 4: Count the number of G and C bases.
Sequence:
G C T G T A A C G A T A G C A C G C
Number of \(G\) bases \(=5\)
Number of \(C\) bases \(=5\)
Thus, total GC bases are
\[
5+5=10
\]
Step 5: Calculate GC percentage.
\[
\text{GC content}
=
\frac{10}{18}\times 100
\]
\[
=55.555\ldots
\]
Step 6: Round off to two decimal places.
\[
55.555\ldots \approx 55.56\%
\]
Step 7: Final conclusion.
Therefore, the GC content of the double stranded DNA is
\[
\boxed{55.56\%}
\]