Finding the Third Proportional to 33,644 and 72,896

Step by Step Solution

1. Step 1: Write the proportion equation
   33,644 : 72,896 = 72,896 : x
2. Step 2: Convert to fraction form
   33,644/72,896 = 72,896/x
3. Step 3: Cross multiply
   33,644x = 72,896 × 72,896
4. Step 4: Simplify right side
   33,644x = 5,313,826,816
5. Step 5: Solve for x
   x = 5,313,826,816/33,644
6. Step 6: Final answer
   x = 157,942.78