Finding the Third Proportional to 5,571 and 8,662.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,571 : 8,662.50 = 8,662.50 : x
2. Step 2: Convert to fraction form
   5,571/8,662.50 = 8,662.50/x
3. Step 3: Cross multiply
   5,571x = 8,662.50 × 8,662.50
4. Step 4: Simplify right side
   5,571x = 75,038,906.25
5. Step 5: Solve for x
   x = 75,038,906.25/5,571
6. Step 6: Final answer
   x = 13,469.56