Finding the Third Proportional to 37,529 and 80,078

Step by Step Solution

1. Step 1: Write the proportion equation
   37,529 : 80,078 = 80,078 : x
2. Step 2: Convert to fraction form
   37,529/80,078 = 80,078/x
3. Step 3: Cross multiply
   37,529x = 80,078 × 80,078
4. Step 4: Simplify right side
   37,529x = 6,412,486,084
5. Step 5: Solve for x
   x = 6,412,486,084/37,529
6. Step 6: Final answer
   x = 170,867.49