Finding the Third Proportional to 17,744 and 27,836

Step by Step Solution

1. Step 1: Write the proportion equation
   17,744 : 27,836 = 27,836 : x
2. Step 2: Convert to fraction form
   17,744/27,836 = 27,836/x
3. Step 3: Cross multiply
   17,744x = 27,836 × 27,836
4. Step 4: Simplify right side
   17,744x = 774,842,896
5. Step 5: Solve for x
   x = 774,842,896/17,744
6. Step 6: Final answer
   x = 43,667.88