Finding the Third Proportional to 17,744 and 27,822

Step by Step Solution

1. Step 1: Write the proportion equation
   17,744 : 27,822 = 27,822 : x
2. Step 2: Convert to fraction form
   17,744/27,822 = 27,822/x
3. Step 3: Cross multiply
   17,744x = 27,822 × 27,822
4. Step 4: Simplify right side
   17,744x = 774,063,684
5. Step 5: Solve for x
   x = 774,063,684/17,744
6. Step 6: Final answer
   x = 43,623.97