Finding the Third Proportional to 37,950 and 82,734

Step by Step Solution

1. Step 1: Write the proportion equation
   37,950 : 82,734 = 82,734 : x
2. Step 2: Convert to fraction form
   37,950/82,734 = 82,734/x
3. Step 3: Cross multiply
   37,950x = 82,734 × 82,734
4. Step 4: Simplify right side
   37,950x = 6,844,914,756
5. Step 5: Solve for x
   x = 6,844,914,756/37,950
6. Step 6: Final answer
   x = 180,366.66