Finding the Third Proportional to 37,456 and 80,420

Step by Step Solution

1. Step 1: Write the proportion equation
   37,456 : 80,420 = 80,420 : x
2. Step 2: Convert to fraction form
   37,456/80,420 = 80,420/x
3. Step 3: Cross multiply
   37,456x = 80,420 × 80,420
4. Step 4: Simplify right side
   37,456x = 6,467,376,400
5. Step 5: Solve for x
   x = 6,467,376,400/37,456
6. Step 6: Final answer
   x = 172,665.97