Finding the Third Proportional to 37,800 and 82,782

Step by Step Solution

1. Step 1: Write the proportion equation
   37,800 : 82,782 = 82,782 : x
2. Step 2: Convert to fraction form
   37,800/82,782 = 82,782/x
3. Step 3: Cross multiply
   37,800x = 82,782 × 82,782
4. Step 4: Simplify right side
   37,800x = 6,852,859,524
5. Step 5: Solve for x
   x = 6,852,859,524/37,800
6. Step 6: Final answer
   x = 181,292.58