Answer:
The third term of a proportional will be: 84
Step-by-step explanation:
We know that if a, b, c and d are in proportion, then:
![\:\:a\:\times \:d\:=\:b\:\times \:c](https://tex.z-dn.net/?f=%5C%3A%5C%3Aa%5C%3A%5Ctimes%20%5C%3Ad%5C%3A%3D%5C%3Ab%5C%3A%5Ctimes%20%5C%3Ac)
In our case, we are given the first, second, and fourth terms are ![24, 36, 126](https://tex.z-dn.net/?f=24%2C%2036%2C%20126)
![a = 24](https://tex.z-dn.net/?f=a%20%3D%2024)
![b = 36](https://tex.z-dn.net/?f=b%20%3D%2036)
![d = 126](https://tex.z-dn.net/?f=d%20%3D%20126)
and we have to determine the third term 'c'.
as we know that if a, b, c, and d are in proportion, then:
![\:\:a\:\times \:d\:=\:b\:\times \:c](https://tex.z-dn.net/?f=%5C%3A%5C%3Aa%5C%3A%5Ctimes%20%5C%3Ad%5C%3A%3D%5C%3Ab%5C%3A%5Ctimes%20%5C%3Ac)
Thus,
substituting a = 24, b = 36, d = 126 to determine
![24\:\times \:126\:=\:36\:\times \:c](https://tex.z-dn.net/?f=24%5C%3A%5Ctimes%20%5C%3A126%5C%3A%3D%5C%3A36%5C%3A%5Ctimes%20%5C%3Ac)
![c=\frac{24\:\times \:\:126}{36}](https://tex.z-dn.net/?f=c%3D%5Cfrac%7B24%5C%3A%5Ctimes%20%5C%3A%5C%3A126%7D%7B36%7D)
![c=\frac{3024}{36}](https://tex.z-dn.net/?f=c%3D%5Cfrac%7B3024%7D%7B36%7D)
![c = 84](https://tex.z-dn.net/?f=c%20%3D%2084)
Thus, the third term of a proportional will be: 84