Finding the Third Proportional to 36,883.50 and 80,011.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,883.50 : 80,011.50 = 80,011.50 : x
2. Step 2: Convert to fraction form
   36,883.50/80,011.50 = 80,011.50/x
3. Step 3: Cross multiply
   36,883.50x = 80,011.50 × 80,011.50
4. Step 4: Simplify right side
   36,883.50x = 6,401,840,132.25
5. Step 5: Solve for x
   x = 6,401,840,132.25/36,883.50
6. Step 6: Final answer
   x = 173,569.21