
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
To create a specific type of steel for a particular application, a certain amount of a chemical element must be added during the steelmaking process. It is known that the amount of this element to be added per ton of steel should be within the range of [1000, 2000] grams. Using the 0.618 method to determine the optimal amount to be added, let the amounts of the element added at the first, second, and third trial points be $x_1$, $x_2$, and $x_3$ respectively ($x_1 > x_2$). If the first trial point is better than the second, then find the amount $x_3$ to be added for the third trial point.

Present the answer in LaTex format: \boxed{Your answer}
user