Finding the Third Proportional to 33,966 and 73,603.69

Step by Step Solution

1. Step 1: Write the proportion equation
   33,966 : 73,603.69 = 73,603.69 : x
2. Step 2: Convert to fraction form
   33,966/73,603.69 = 73,603.69/x
3. Step 3: Cross multiply
   33,966x = 73,603.69 × 73,603.69
4. Step 4: Simplify right side
   33,966x = 5,417,502,813.60
5. Step 5: Solve for x
   x = 5,417,502,813.60/33,966
6. Step 6: Final answer
   x = 159,497.82