Finding the Third Proportional to 37,728 and 82,367

Step by Step Solution

1. Step 1: Write the proportion equation
   37,728 : 82,367 = 82,367 : x
2. Step 2: Convert to fraction form
   37,728/82,367 = 82,367/x
3. Step 3: Cross multiply
   37,728x = 82,367 × 82,367
4. Step 4: Simplify right side
   37,728x = 6,784,322,689
5. Step 5: Solve for x
   x = 6,784,322,689/37,728
6. Step 6: Final answer
   x = 179,821.95