Finding the Third Proportional to 33,546 and 71,088

Step by Step Solution

1. Step 1: Write the proportion equation
   33,546 : 71,088 = 71,088 : x
2. Step 2: Convert to fraction form
   33,546/71,088 = 71,088/x
3. Step 3: Cross multiply
   33,546x = 71,088 × 71,088
4. Step 4: Simplify right side
   33,546x = 5,053,503,744
5. Step 5: Solve for x
   x = 5,053,503,744/33,546
6. Step 6: Final answer
   x = 150,644.00