Finding the Third Proportional to 37,618 and 80,131

Step by Step Solution

1. Step 1: Write the proportion equation
   37,618 : 80,131 = 80,131 : x
2. Step 2: Convert to fraction form
   37,618/80,131 = 80,131/x
3. Step 3: Cross multiply
   37,618x = 80,131 × 80,131
4. Step 4: Simplify right side
   37,618x = 6,420,977,161
5. Step 5: Solve for x
   x = 6,420,977,161/37,618
6. Step 6: Final answer
   x = 170,688.96