Finding the Third Proportional to 37,341 and 82,134

Step by Step Solution

1. Step 1: Write the proportion equation
   37,341 : 82,134 = 82,134 : x
2. Step 2: Convert to fraction form
   37,341/82,134 = 82,134/x
3. Step 3: Cross multiply
   37,341x = 82,134 × 82,134
4. Step 4: Simplify right side
   37,341x = 6,745,993,956
5. Step 5: Solve for x
   x = 6,745,993,956/37,341
6. Step 6: Final answer
   x = 180,659.17