Finding the Third Proportional to 37,626 and 80,436

Step by Step Solution

1. Step 1: Write the proportion equation
   37,626 : 80,436 = 80,436 : x
2. Step 2: Convert to fraction form
   37,626/80,436 = 80,436/x
3. Step 3: Cross multiply
   37,626x = 80,436 × 80,436
4. Step 4: Simplify right side
   37,626x = 6,469,950,096
5. Step 5: Solve for x
   x = 6,469,950,096/37,626
6. Step 6: Final answer
   x = 171,954.24