Finding the Third Proportional to 5,824 and 12,571.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,824 : 12,571.50 = 12,571.50 : x
2. Step 2: Convert to fraction form
   5,824/12,571.50 = 12,571.50/x
3. Step 3: Cross multiply
   5,824x = 12,571.50 × 12,571.50
4. Step 4: Simplify right side
   5,824x = 158,042,612.25
5. Step 5: Solve for x
   x = 158,042,612.25/5,824
6. Step 6: Final answer
   x = 27,136.44