What is the solution for x in the proportion where 2 is to x as 6 is to 57?

To solve the proportion where 2 is to x as 6 is to 57, we start by setting up the equation using cross-multiplication. The relationship can be expressed as:

2 / x = 6 / 57.

Cross-multiplying gives:

2 * 57 = 6 * x.

Next, we calculate the left side:

2 * 57 = 114.

So the equation simplifies to:

114 = 6 * x.

To find x, we divide both sides of the equation by 6:

x = 114 / 6.

Calculating this gives:

x = 19.

Thus, the correct solution for x in the proportion is 19, which corresponds to the option chosen. This represents the value of x such that the ratios remain equivalent, fulfilling the property of proportions.