Finding the Third Proportional to 37,556 and 80,443

Step by Step Solution

1. Step 1: Write the proportion equation
   37,556 : 80,443 = 80,443 : x
2. Step 2: Convert to fraction form
   37,556/80,443 = 80,443/x
3. Step 3: Cross multiply
   37,556x = 80,443 × 80,443
4. Step 4: Simplify right side
   37,556x = 6,471,076,249
5. Step 5: Solve for x
   x = 6,471,076,249/37,556
6. Step 6: Final answer
   x = 172,304.72