Finding the Third Proportional to 37,805 and 82,846

Step by Step Solution

1. Step 1: Write the proportion equation
   37,805 : 82,846 = 82,846 : x
2. Step 2: Convert to fraction form
   37,805/82,846 = 82,846/x
3. Step 3: Cross multiply
   37,805x = 82,846 × 82,846
4. Step 4: Simplify right side
   37,805x = 6,863,459,716
5. Step 5: Solve for x
   x = 6,863,459,716/37,805
6. Step 6: Final answer
   x = 181,548.99