Finding the Third Proportional to 37,857 and 80,570

Step by Step Solution

1. Step 1: Write the proportion equation
   37,857 : 80,570 = 80,570 : x
2. Step 2: Convert to fraction form
   37,857/80,570 = 80,570/x
3. Step 3: Cross multiply
   37,857x = 80,570 × 80,570
4. Step 4: Simplify right side
   37,857x = 6,491,524,900
5. Step 5: Solve for x
   x = 6,491,524,900/37,857
6. Step 6: Final answer
   x = 171,474.89