Finding the Third Proportional to 37,086 and 82,179.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,086 : 82,179.50 = 82,179.50 : x
2. Step 2: Convert to fraction form
   37,086/82,179.50 = 82,179.50/x
3. Step 3: Cross multiply
   37,086x = 82,179.50 × 82,179.50
4. Step 4: Simplify right side
   37,086x = 6,753,470,220.25
5. Step 5: Solve for x
   x = 6,753,470,220.25/37,086
6. Step 6: Final answer
   x = 182,102.96