Finding the Third Proportional to 17,744 and 27,548

Step by Step Solution

1. Step 1: Write the proportion equation
   17,744 : 27,548 = 27,548 : x
2. Step 2: Convert to fraction form
   17,744/27,548 = 27,548/x
3. Step 3: Cross multiply
   17,744x = 27,548 × 27,548
4. Step 4: Simplify right side
   17,744x = 758,892,304
5. Step 5: Solve for x
   x = 758,892,304/17,744
6. Step 6: Final answer
   x = 42,768.95