Finding the Third Proportional to 33,258 and 71,128

Step by Step Solution

1. Step 1: Write the proportion equation
   33,258 : 71,128 = 71,128 : x
2. Step 2: Convert to fraction form
   33,258/71,128 = 71,128/x
3. Step 3: Cross multiply
   33,258x = 71,128 × 71,128
4. Step 4: Simplify right side
   33,258x = 5,059,192,384
5. Step 5: Solve for x
   x = 5,059,192,384/33,258
6. Step 6: Final answer
   x = 152,119.56