Finding the Third Proportional to 33,512 and 70,288

Step by Step Solution

1. Step 1: Write the proportion equation
   33,512 : 70,288 = 70,288 : x
2. Step 2: Convert to fraction form
   33,512/70,288 = 70,288/x
3. Step 3: Cross multiply
   33,512x = 70,288 × 70,288
4. Step 4: Simplify right side
   33,512x = 4,940,402,944
5. Step 5: Solve for x
   x = 4,940,402,944/33,512
6. Step 6: Final answer
   x = 147,421.91