Finding the Third Proportional to 2,304 and 5,565

Step by Step Solution

1. Step 1: Write the proportion equation
   2,304 : 5,565 = 5,565 : x
2. Step 2: Convert to fraction form
   2,304/5,565 = 5,565/x
3. Step 3: Cross multiply
   2,304x = 5,565 × 5,565
4. Step 4: Simplify right side
   2,304x = 30,969,225
5. Step 5: Solve for x
   x = 30,969,225/2,304
6. Step 6: Final answer
   x = 13,441.50