Finding the Third Proportional to 37,767 and 80,019

Step by Step Solution

1. Step 1: Write the proportion equation
   37,767 : 80,019 = 80,019 : x
2. Step 2: Convert to fraction form
   37,767/80,019 = 80,019/x
3. Step 3: Cross multiply
   37,767x = 80,019 × 80,019
4. Step 4: Simplify right side
   37,767x = 6,403,040,361
5. Step 5: Solve for x
   x = 6,403,040,361/37,767
6. Step 6: Final answer
   x = 169,540.61