Finding the Third Proportional to 33,966 and 73,114

Step by Step Solution

1. Step 1: Write the proportion equation
   33,966 : 73,114 = 73,114 : x
2. Step 2: Convert to fraction form
   33,966/73,114 = 73,114/x
3. Step 3: Cross multiply
   33,966x = 73,114 × 73,114
4. Step 4: Simplify right side
   33,966x = 5,345,656,996
5. Step 5: Solve for x
   x = 5,345,656,996/33,966
6. Step 6: Final answer
   x = 157,382.59