Finding the Third Proportional to 33,561 and 71,109

Step by Step Solution

1. Step 1: Write the proportion equation
   33,561 : 71,109 = 71,109 : x
2. Step 2: Convert to fraction form
   33,561/71,109 = 71,109/x
3. Step 3: Cross multiply
   33,561x = 71,109 × 71,109
4. Step 4: Simplify right side
   33,561x = 5,056,489,881
5. Step 5: Solve for x
   x = 5,056,489,881/33,561
6. Step 6: Final answer
   x = 150,665.65