Finding the Third Proportional to 1,523.18 and 3,304.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,523.18 : 3,304.55 = 3,304.55 : x
2. Step 2: Convert to fraction form
   1,523.18/3,304.55 = 3,304.55/x
3. Step 3: Cross multiply
   1,523.18x = 3,304.55 × 3,304.55
4. Step 4: Simplify right side
   1,523.18x = 10,920,030.05
5. Step 5: Solve for x
   x = 10,920,030.05/1,523.18
6. Step 6: Final answer
   x = 7,169.23