Finding the Third Proportional to 37,786.50 and 80,676

Step by Step Solution

1. Step 1: Write the proportion equation
   37,786.50 : 80,676 = 80,676 : x
2. Step 2: Convert to fraction form
   37,786.50/80,676 = 80,676/x
3. Step 3: Cross multiply
   37,786.50x = 80,676 × 80,676
4. Step 4: Simplify right side
   37,786.50x = 6,508,616,976
5. Step 5: Solve for x
   x = 6,508,616,976/37,786.50
6. Step 6: Final answer
   x = 172,247.15