Finding the Third Proportional to 33,048 and 72,657

Step by Step Solution

1. Step 1: Write the proportion equation
   33,048 : 72,657 = 72,657 : x
2. Step 2: Convert to fraction form
   33,048/72,657 = 72,657/x
3. Step 3: Cross multiply
   33,048x = 72,657 × 72,657
4. Step 4: Simplify right side
   33,048x = 5,279,039,649
5. Step 5: Solve for x
   x = 5,279,039,649/33,048
6. Step 6: Final answer
   x = 159,738.55