Finding the Third Proportional to 37,797 and 82,155

Step by Step Solution

1. Step 1: Write the proportion equation
   37,797 : 82,155 = 82,155 : x
2. Step 2: Convert to fraction form
   37,797/82,155 = 82,155/x
3. Step 3: Cross multiply
   37,797x = 82,155 × 82,155
4. Step 4: Simplify right side
   37,797x = 6,749,444,025
5. Step 5: Solve for x
   x = 6,749,444,025/37,797
6. Step 6: Final answer
   x = 178,570.89