Finding the Third Proportional to 37,165 and 82,610

Step by Step Solution

1. Step 1: Write the proportion equation
   37,165 : 82,610 = 82,610 : x
2. Step 2: Convert to fraction form
   37,165/82,610 = 82,610/x
3. Step 3: Cross multiply
   37,165x = 82,610 × 82,610
4. Step 4: Simplify right side
   37,165x = 6,824,412,100
5. Step 5: Solve for x
   x = 6,824,412,100/37,165
6. Step 6: Final answer
   x = 183,624.70