Finding the Third Proportional to 37,944 and 82,908

Step by Step Solution

1. Step 1: Write the proportion equation
   37,944 : 82,908 = 82,908 : x
2. Step 2: Convert to fraction form
   37,944/82,908 = 82,908/x
3. Step 3: Cross multiply
   37,944x = 82,908 × 82,908
4. Step 4: Simplify right side
   37,944x = 6,873,736,464
5. Step 5: Solve for x
   x = 6,873,736,464/37,944
6. Step 6: Final answer
   x = 181,154.77