Finding the Third Proportional to 37,855.69 and 82,981.97

Step by Step Solution

1. Step 1: Write the proportion equation
   37,855.69 : 82,981.97 = 82,981.97 : x
2. Step 2: Convert to fraction form
   37,855.69/82,981.97 = 82,981.97/x
3. Step 3: Cross multiply
   37,855.69x = 82,981.97 × 82,981.97
4. Step 4: Simplify right side
   37,855.69x = 6,886,007,137.63
5. Step 5: Solve for x
   x = 6,886,007,137.63/37,855.69
6. Step 6: Final answer
   x = 181,901.52