Finding the Third Proportional to 37,634 and 82,180

Step by Step Solution

1. Step 1: Write the proportion equation
   37,634 : 82,180 = 82,180 : x
2. Step 2: Convert to fraction form
   37,634/82,180 = 82,180/x
3. Step 3: Cross multiply
   37,634x = 82,180 × 82,180
4. Step 4: Simplify right side
   37,634x = 6,753,552,400
5. Step 5: Solve for x
   x = 6,753,552,400/37,634
6. Step 6: Final answer
   x = 179,453.48