Finding the Third Proportional to 33,872 and 72,980

Step by Step Solution

1. Step 1: Write the proportion equation
   33,872 : 72,980 = 72,980 : x
2. Step 2: Convert to fraction form
   33,872/72,980 = 72,980/x
3. Step 3: Cross multiply
   33,872x = 72,980 × 72,980
4. Step 4: Simplify right side
   33,872x = 5,326,080,400
5. Step 5: Solve for x
   x = 5,326,080,400/33,872
6. Step 6: Final answer
   x = 157,241.39