Special Relativity spaceship problem

1. The problem statement, all variables and given/known data
You are on earth as a spaceship flies past at a speed of 0.99c relative to the earth. A high-intensity signal light on the ship blinks on and off, each pulse lasting 2.2 × 10^(−6) s, as measured on the spacecraft.

Your laboratory on earth has a length of 56.4m. How long does the spaceship crew measure it to be?

2. Relevant equations
length contraction


3. The attempt at a solution
So I am viewing the question like this. If I am standing on the space ship as this is my frame of ref; right? The the proper length would be unknown as proper length is only measure when me for example is at rest, so I the thought that if I am at rest on the ship the earth is moving 0.99c relative to me, therfore I transposed the length contraction formula to get my ans.

L_0= proper length
L= length on earth

so If I use the length contraction formula to solve for L_0 I would get what the i view it on the space ship, is this correct?

my ans was 59.8m from space ship.

Very new to special relatvity so still getting my head round it.