Finding the Third Proportional to 2,034 and 2,304

Step by Step Solution

1. Step 1: Write the proportion equation
   2,034 : 2,304 = 2,304 : x
2. Step 2: Convert to fraction form
   2,034/2,304 = 2,304/x
3. Step 3: Cross multiply
   2,034x = 2,304 × 2,304
4. Step 4: Simplify right side
   2,034x = 5,308,416
5. Step 5: Solve for x
   x = 5,308,416/2,034
6. Step 6: Final answer
   x = 2,609.84