Finding the Third Proportional to 34,848 and 71,544

Step by Step Solution

1. Step 1: Write the proportion equation
   34,848 : 71,544 = 71,544 : x
2. Step 2: Convert to fraction form
   34,848/71,544 = 71,544/x
3. Step 3: Cross multiply
   34,848x = 71,544 × 71,544
4. Step 4: Simplify right side
   34,848x = 5,118,543,936
5. Step 5: Solve for x
   x = 5,118,543,936/34,848
6. Step 6: Final answer
   x = 146,882