Finding the Third Proportional to 37,449 and 81,456

Step by Step Solution

1. Step 1: Write the proportion equation
   37,449 : 81,456 = 81,456 : x
2. Step 2: Convert to fraction form
   37,449/81,456 = 81,456/x
3. Step 3: Cross multiply
   37,449x = 81,456 × 81,456
4. Step 4: Simplify right side
   37,449x = 6,635,079,936
5. Step 5: Solve for x
   x = 6,635,079,936/37,449
6. Step 6: Final answer
   x = 177,176.42