Finding the Third Proportional to 37,597 and 82,582

Step by Step Solution

1. Step 1: Write the proportion equation
   37,597 : 82,582 = 82,582 : x
2. Step 2: Convert to fraction form
   37,597/82,582 = 82,582/x
3. Step 3: Cross multiply
   37,597x = 82,582 × 82,582
4. Step 4: Simplify right side
   37,597x = 6,819,786,724
5. Step 5: Solve for x
   x = 6,819,786,724/37,597
6. Step 6: Final answer
   x = 181,391.78