Finding the Third Proportional to 32,800 and 73,984

Step by Step Solution

1. Step 1: Write the proportion equation
   32,800 : 73,984 = 73,984 : x
2. Step 2: Convert to fraction form
   32,800/73,984 = 73,984/x
3. Step 3: Cross multiply
   32,800x = 73,984 × 73,984
4. Step 4: Simplify right side
   32,800x = 5,473,632,256
5. Step 5: Solve for x
   x = 5,473,632,256/32,800
6. Step 6: Final answer
   x = 166,879.03