Finding the Third Proportional to 37,530.50 and 80,879.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,530.50 : 80,879.50 = 80,879.50 : x
2. Step 2: Convert to fraction form
   37,530.50/80,879.50 = 80,879.50/x
3. Step 3: Cross multiply
   37,530.50x = 80,879.50 × 80,879.50
4. Step 4: Simplify right side
   37,530.50x = 6,541,493,520.25
5. Step 5: Solve for x
   x = 6,541,493,520.25/37,530.50
6. Step 6: Final answer
   x = 174,298.06