Finding the Third Proportional to 5,640 and 12,571.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,640 : 12,571.50 = 12,571.50 : x
2. Step 2: Convert to fraction form
   5,640/12,571.50 = 12,571.50/x
3. Step 3: Cross multiply
   5,640x = 12,571.50 × 12,571.50
4. Step 4: Simplify right side
   5,640x = 158,042,612.25
5. Step 5: Solve for x
   x = 158,042,612.25/5,640
6. Step 6: Final answer
   x = 28,021.74