Finding the Third Proportional to 34,180 and 73,544

Step by Step Solution

1. Step 1: Write the proportion equation
   34,180 : 73,544 = 73,544 : x
2. Step 2: Convert to fraction form
   34,180/73,544 = 73,544/x
3. Step 3: Cross multiply
   34,180x = 73,544 × 73,544
4. Step 4: Simplify right side
   34,180x = 5,408,719,936
5. Step 5: Solve for x
   x = 5,408,719,936/34,180
6. Step 6: Final answer
   x = 158,242.25