Finding the Third Proportional to 37,192 and 80,544

Step by Step Solution

1. Step 1: Write the proportion equation
   37,192 : 80,544 = 80,544 : x
2. Step 2: Convert to fraction form
   37,192/80,544 = 80,544/x
3. Step 3: Cross multiply
   37,192x = 80,544 × 80,544
4. Step 4: Simplify right side
   37,192x = 6,487,335,936
5. Step 5: Solve for x
   x = 6,487,335,936/37,192
6. Step 6: Final answer
   x = 174,428.26