Finding the Third Proportional to 32,980 and 73,074

Step by Step Solution

1. Step 1: Write the proportion equation
   32,980 : 73,074 = 73,074 : x
2. Step 2: Convert to fraction form
   32,980/73,074 = 73,074/x
3. Step 3: Cross multiply
   32,980x = 73,074 × 73,074
4. Step 4: Simplify right side
   32,980x = 5,339,809,476
5. Step 5: Solve for x
   x = 5,339,809,476/32,980
6. Step 6: Final answer
   x = 161,910.54