Finding the Third Proportional to 33,740 and 73,960

Step by Step Solution

1. Step 1: Write the proportion equation
   33,740 : 73,960 = 73,960 : x
2. Step 2: Convert to fraction form
   33,740/73,960 = 73,960/x
3. Step 3: Cross multiply
   33,740x = 73,960 × 73,960
4. Step 4: Simplify right side
   33,740x = 5,470,081,600
5. Step 5: Solve for x
   x = 5,470,081,600/33,740
6. Step 6: Final answer
   x = 162,124.53