Finding the Third Proportional to 33,678 and 70,906

Step by Step Solution

1. Step 1: Write the proportion equation
   33,678 : 70,906 = 70,906 : x
2. Step 2: Convert to fraction form
   33,678/70,906 = 70,906/x
3. Step 3: Cross multiply
   33,678x = 70,906 × 70,906
4. Step 4: Simplify right side
   33,678x = 5,027,660,836
5. Step 5: Solve for x
   x = 5,027,660,836/33,678
6. Step 6: Final answer
   x = 149,286.21