Finding the Third Proportional to 37,357 and 82,098

Step by Step Solution

1. Step 1: Write the proportion equation
   37,357 : 82,098 = 82,098 : x
2. Step 2: Convert to fraction form
   37,357/82,098 = 82,098/x
3. Step 3: Cross multiply
   37,357x = 82,098 × 82,098
4. Step 4: Simplify right side
   37,357x = 6,740,081,604
5. Step 5: Solve for x
   x = 6,740,081,604/37,357
6. Step 6: Final answer
   x = 180,423.52