Finding the Third Proportional to 36,749.50 and 80,505.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,749.50 : 80,505.50 = 80,505.50 : x
2. Step 2: Convert to fraction form
   36,749.50/80,505.50 = 80,505.50/x
3. Step 3: Cross multiply
   36,749.50x = 80,505.50 × 80,505.50
4. Step 4: Simplify right side
   36,749.50x = 6,481,135,530.25
5. Step 5: Solve for x
   x = 6,481,135,530.25/36,749.50
6. Step 6: Final answer
   x = 176,359.83