Finding the Third Proportional to 37,821 and 82,274

Step by Step Solution

1. Step 1: Write the proportion equation
   37,821 : 82,274 = 82,274 : x
2. Step 2: Convert to fraction form
   37,821/82,274 = 82,274/x
3. Step 3: Cross multiply
   37,821x = 82,274 × 82,274
4. Step 4: Simplify right side
   37,821x = 6,769,011,076
5. Step 5: Solve for x
   x = 6,769,011,076/37,821
6. Step 6: Final answer
   x = 178,974.94