Finding the Third Proportional to 37,944 and 80,388

Step by Step Solution

1. Step 1: Write the proportion equation
   37,944 : 80,388 = 80,388 : x
2. Step 2: Convert to fraction form
   37,944/80,388 = 80,388/x
3. Step 3: Cross multiply
   37,944x = 80,388 × 80,388
4. Step 4: Simplify right side
   37,944x = 6,462,230,544
5. Step 5: Solve for x
   x = 6,462,230,544/37,944
6. Step 6: Final answer
   x = 170,309.68