Finding the Third Proportional to 37,756 and 80,692

Step by Step Solution

1. Step 1: Write the proportion equation
   37,756 : 80,692 = 80,692 : x
2. Step 2: Convert to fraction form
   37,756/80,692 = 80,692/x
3. Step 3: Cross multiply
   37,756x = 80,692 × 80,692
4. Step 4: Simplify right side
   37,756x = 6,511,198,864
5. Step 5: Solve for x
   x = 6,511,198,864/37,756
6. Step 6: Final answer
   x = 172,454.68