Finding the Third Proportional to 37,634 and 80,456

Step by Step Solution

1. Step 1: Write the proportion equation
   37,634 : 80,456 = 80,456 : x
2. Step 2: Convert to fraction form
   37,634/80,456 = 80,456/x
3. Step 3: Cross multiply
   37,634x = 80,456 × 80,456
4. Step 4: Simplify right side
   37,634x = 6,473,167,936
5. Step 5: Solve for x
   x = 6,473,167,936/37,634
6. Step 6: Final answer
   x = 172,003.19