Finding the Third Proportional to 33,696 and 71,028

Step by Step Solution

1. Step 1: Write the proportion equation
   33,696 : 71,028 = 71,028 : x
2. Step 2: Convert to fraction form
   33,696/71,028 = 71,028/x
3. Step 3: Cross multiply
   33,696x = 71,028 × 71,028
4. Step 4: Simplify right side
   33,696x = 5,044,976,784
5. Step 5: Solve for x
   x = 5,044,976,784/33,696
6. Step 6: Final answer
   x = 149,720.35