Finding the Third Proportional to 37,951 and 82,464.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,951 : 82,464.50 = 82,464.50 : x
2. Step 2: Convert to fraction form
   37,951/82,464.50 = 82,464.50/x
3. Step 3: Cross multiply
   37,951x = 82,464.50 × 82,464.50
4. Step 4: Simplify right side
   37,951x = 6,800,393,760.25
5. Step 5: Solve for x
   x = 6,800,393,760.25/37,951
6. Step 6: Final answer
   x = 179,188.79