Finding the Third Proportional to 37,836 and 82,233

Step by Step Solution

1. Step 1: Write the proportion equation
   37,836 : 82,233 = 82,233 : x
2. Step 2: Convert to fraction form
   37,836/82,233 = 82,233/x
3. Step 3: Cross multiply
   37,836x = 82,233 × 82,233
4. Step 4: Simplify right side
   37,836x = 6,762,266,289
5. Step 5: Solve for x
   x = 6,762,266,289/37,836
6. Step 6: Final answer
   x = 178,725.72