Finding the Third Proportional to 37,467 and 82,089

Step by Step Solution

1. Step 1: Write the proportion equation
   37,467 : 82,089 = 82,089 : x
2. Step 2: Convert to fraction form
   37,467/82,089 = 82,089/x
3. Step 3: Cross multiply
   37,467x = 82,089 × 82,089
4. Step 4: Simplify right side
   37,467x = 6,738,603,921
5. Step 5: Solve for x
   x = 6,738,603,921/37,467
6. Step 6: Final answer
   x = 179,854.38