Finding the Third Proportional to 17,744 and 29,571.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,744 : 29,571.50 = 29,571.50 : x
2. Step 2: Convert to fraction form
   17,744/29,571.50 = 29,571.50/x
3. Step 3: Cross multiply
   17,744x = 29,571.50 × 29,571.50
4. Step 4: Simplify right side
   17,744x = 874,473,612.25
5. Step 5: Solve for x
   x = 874,473,612.25/17,744
6. Step 6: Final answer
   x = 49,282.78