Finding the Third Proportional to 36,924.75 and 80,617.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,924.75 : 80,617.50 = 80,617.50 : x
2. Step 2: Convert to fraction form
   36,924.75/80,617.50 = 80,617.50/x
3. Step 3: Cross multiply
   36,924.75x = 80,617.50 × 80,617.50
4. Step 4: Simplify right side
   36,924.75x = 6,499,181,306.25
5. Step 5: Solve for x
   x = 6,499,181,306.25/36,924.75
6. Step 6: Final answer
   x = 176,011.52