Finding the Third Proportional to 5,747.63 and 12,571.88

Step by Step Solution

1. Step 1: Write the proportion equation
   5,747.63 : 12,571.88 = 12,571.88 : x
2. Step 2: Convert to fraction form
   5,747.63/12,571.88 = 12,571.88/x
3. Step 3: Cross multiply
   5,747.63x = 12,571.88 × 12,571.88
4. Step 4: Simplify right side
   5,747.63x = 158,052,041.02
5. Step 5: Solve for x
   x = 158,052,041.02/5,747.63
6. Step 6: Final answer
   x = 27,498.67