Finding the Third Proportional to 33,864 and 73,584

Step by Step Solution

1. Step 1: Write the proportion equation
   33,864 : 73,584 = 73,584 : x
2. Step 2: Convert to fraction form
   33,864/73,584 = 73,584/x
3. Step 3: Cross multiply
   33,864x = 73,584 × 73,584
4. Step 4: Simplify right side
   33,864x = 5,414,605,056
5. Step 5: Solve for x
   x = 5,414,605,056/33,864
6. Step 6: Final answer
   x = 159,892.66