Finding the Third Proportional to 33,678 and 70,848

Step by Step Solution

1. Step 1: Write the proportion equation
   33,678 : 70,848 = 70,848 : x
2. Step 2: Convert to fraction form
   33,678/70,848 = 70,848/x
3. Step 3: Cross multiply
   33,678x = 70,848 × 70,848
4. Step 4: Simplify right side
   33,678x = 5,019,439,104
5. Step 5: Solve for x
   x = 5,019,439,104/33,678
6. Step 6: Final answer
   x = 149,042.08