Finding the Third Proportional to 37,469 and 80,268

Step by Step Solution

1. Step 1: Write the proportion equation
   37,469 : 80,268 = 80,268 : x
2. Step 2: Convert to fraction form
   37,469/80,268 = 80,268/x
3. Step 3: Cross multiply
   37,469x = 80,268 × 80,268
4. Step 4: Simplify right side
   37,469x = 6,442,951,824
5. Step 5: Solve for x
   x = 6,442,951,824/37,469
6. Step 6: Final answer
   x = 171,954.20