Finding the Third Proportional to 37,555 and 82,035

Step by Step Solution

1. Step 1: Write the proportion equation
   37,555 : 82,035 = 82,035 : x
2. Step 2: Convert to fraction form
   37,555/82,035 = 82,035/x
3. Step 3: Cross multiply
   37,555x = 82,035 × 82,035
4. Step 4: Simplify right side
   37,555x = 6,729,741,225
5. Step 5: Solve for x
   x = 6,729,741,225/37,555
6. Step 6: Final answer
   x = 179,196.94