Finding the Third Proportional to 36,576 and 80,131.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,576 : 80,131.50 = 80,131.50 : x
2. Step 2: Convert to fraction form
   36,576/80,131.50 = 80,131.50/x
3. Step 3: Cross multiply
   36,576x = 80,131.50 × 80,131.50
4. Step 4: Simplify right side
   36,576x = 6,421,057,292.25
5. Step 5: Solve for x
   x = 6,421,057,292.25/36,576
6. Step 6: Final answer
   x = 175,553.84