Finding the Third Proportional to 33,997 and 73,595

Step by Step Solution

1. Step 1: Write the proportion equation
   33,997 : 73,595 = 73,595 : x
2. Step 2: Convert to fraction form
   33,997/73,595 = 73,595/x
3. Step 3: Cross multiply
   33,997x = 73,595 × 73,595
4. Step 4: Simplify right side
   33,997x = 5,416,224,025
5. Step 5: Solve for x
   x = 5,416,224,025/33,997
6. Step 6: Final answer
   x = 159,314.76