Finding the Third Proportional to 33,131 and 71,872

Step by Step Solution

1. Step 1: Write the proportion equation
   33,131 : 71,872 = 71,872 : x
2. Step 2: Convert to fraction form
   33,131/71,872 = 71,872/x
3. Step 3: Cross multiply
   33,131x = 71,872 × 71,872
4. Step 4: Simplify right side
   33,131x = 5,165,584,384
5. Step 5: Solve for x
   x = 5,165,584,384/33,131
6. Step 6: Final answer
   x = 155,913.93