Finding the Third Proportional to 33,238 and 70,228

Step by Step Solution

1. Step 1: Write the proportion equation
   33,238 : 70,228 = 70,228 : x
2. Step 2: Convert to fraction form
   33,238/70,228 = 70,228/x
3. Step 3: Cross multiply
   33,238x = 70,228 × 70,228
4. Step 4: Simplify right side
   33,238x = 4,931,971,984
5. Step 5: Solve for x
   x = 4,931,971,984/33,238
6. Step 6: Final answer
   x = 148,383.54