Finding the Third Proportional to 37,793 and 82,747

Step by Step Solution

1. Step 1: Write the proportion equation
   37,793 : 82,747 = 82,747 : x
2. Step 2: Convert to fraction form
   37,793/82,747 = 82,747/x
3. Step 3: Cross multiply
   37,793x = 82,747 × 82,747
4. Step 4: Simplify right side
   37,793x = 6,847,066,009
5. Step 5: Solve for x
   x = 6,847,066,009/37,793
6. Step 6: Final answer
   x = 181,172.86