Finding the Third Proportional to 6,171 and 12,571.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,171 : 12,571.50 = 12,571.50 : x
2. Step 2: Convert to fraction form
   6,171/12,571.50 = 12,571.50/x
3. Step 3: Cross multiply
   6,171x = 12,571.50 × 12,571.50
4. Step 4: Simplify right side
   6,171x = 158,042,612.25
5. Step 5: Solve for x
   x = 158,042,612.25/6,171
6. Step 6: Final answer
   x = 25,610.54