Finding the Third Proportional to 8,380 and 12,571

Step by Step Solution

1. Step 1: Write the proportion equation
   8,380 : 12,571 = 12,571 : x
2. Step 2: Convert to fraction form
   8,380/12,571 = 12,571/x
3. Step 3: Cross multiply
   8,380x = 12,571 × 12,571
4. Step 4: Simplify right side
   8,380x = 158,030,041
5. Step 5: Solve for x
   x = 158,030,041/8,380
6. Step 6: Final answer
   x = 18,858.00