Finding the Third Proportional to 1,535.34 and 2,304.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,535.34 : 2,304.56 = 2,304.56 : x
2. Step 2: Convert to fraction form
   1,535.34/2,304.56 = 2,304.56/x
3. Step 3: Cross multiply
   1,535.34x = 2,304.56 × 2,304.56
4. Step 4: Simplify right side
   1,535.34x = 5,311,008.32
5. Step 5: Solve for x
   x = 5,311,008.32/1,535.34
6. Step 6: Final answer
   x = 3,459.17