Finding the Third Proportional to 33,757 and 72,702

Step by Step Solution

1. Step 1: Write the proportion equation
   33,757 : 72,702 = 72,702 : x
2. Step 2: Convert to fraction form
   33,757/72,702 = 72,702/x
3. Step 3: Cross multiply
   33,757x = 72,702 × 72,702
4. Step 4: Simplify right side
   33,757x = 5,285,580,804
5. Step 5: Solve for x
   x = 5,285,580,804/33,757
6. Step 6: Final answer
   x = 156,577.33