Finding the Third Proportional to 37,683 and 82,764

Step by Step Solution

1. Step 1: Write the proportion equation
   37,683 : 82,764 = 82,764 : x
2. Step 2: Convert to fraction form
   37,683/82,764 = 82,764/x
3. Step 3: Cross multiply
   37,683x = 82,764 × 82,764
4. Step 4: Simplify right side
   37,683x = 6,849,879,696
5. Step 5: Solve for x
   x = 6,849,879,696/37,683
6. Step 6: Final answer
   x = 181,776.39