Finding the Third Proportional to 37,648 and 80,732

Step by Step Solution

1. Step 1: Write the proportion equation
   37,648 : 80,732 = 80,732 : x
2. Step 2: Convert to fraction form
   37,648/80,732 = 80,732/x
3. Step 3: Cross multiply
   37,648x = 80,732 × 80,732
4. Step 4: Simplify right side
   37,648x = 6,517,655,824
5. Step 5: Solve for x
   x = 6,517,655,824/37,648
6. Step 6: Final answer
   x = 173,120.90