The correct arrangement of the layers of temperature stratification of the atmosphere around the Earth is option 3: Troposphere—Stratosphere—Thermosphere.

1. Troposphere: This is the layer closest to the Earth`s surface and extends up to about 10-15 kilometers. The temperature decreases with altitude in the troposphere.

2. Stratosphere: The layer above the troposphere, extending from about 15-50 kilometers. In the stratosphere, the temperature increases with altitude due to the presence of the ozone layer.

3. Thermosphere: The outermost layer of the atmosphere, extending from about 50 kilometers upwards. In the thermosphere, the temperature increases significantly, reaching extremely high temperatures due to the absorption of solar radiation. However, despite the high temperatures, the thermosphere would feel very cold because the low density of particles does not transfer heat effectively.

It is important to note that there are other layers in the atmosphere as well, such as the mesosphere and exosphere, but they are not mentioned in the options provided.