Finding the Third Proportional to 33,942 and 70,212

Step by Step Solution

1. Step 1: Write the proportion equation
   33,942 : 70,212 = 70,212 : x
2. Step 2: Convert to fraction form
   33,942/70,212 = 70,212/x
3. Step 3: Cross multiply
   33,942x = 70,212 × 70,212
4. Step 4: Simplify right side
   33,942x = 4,929,724,944
5. Step 5: Solve for x
   x = 4,929,724,944/33,942
6. Step 6: Final answer
   x = 145,239.67