Step 1: Recall the principle of sky wave communication.
Sky wave (ionospheric) propagation works because radio waves in a certain frequency range are reflected back to Earth by the ionosphere, allowing communication beyond the horizon without satellites.
Step 2: Understand the structure of the ionosphere.
The ionosphere has layers (D, E, and F layers) of ionised gas at different heights. The F layer, at about 200-400 km altitude, is the most important for sky wave reflection.
Step 3: Identify the frequency range for sky wave propagation.
The ionosphere reflects radio waves only in the High Frequency (HF) range: approximately $3\,\text{MHz}$ to $30\,\text{MHz}$.
Below $3\,\text{MHz}$: waves are partially absorbed by the D layer and the ground.
Above $30\,\text{MHz}$: waves pass through the ionosphere into space and are not reflected.
Step 4: Evaluate each given option.
$10\,\text{kHz} = 0.01\,\text{MHz}$ - too low, absorbed before reaching the upper ionosphere.
$10\,\text{MHz}$ - falls within the HF range (3 to 30 MHz), reflected by the F layer.
$1\,\text{GHz} = 1000\,\text{MHz}$ - far too high, penetrates the ionosphere.
$1000\,\text{GHz}$ - far too high, used in millimetre wave range.
Step 5: Select the correct option.
Only $10\,\text{MHz}$ lies in the suitable HF band for sky wave communication.
Step 6: State the answer.
\[
\boxed{10\,\text{MHz}}
\]