Finding the Third Proportional to 31,872 and 71,760

Step by Step Solution

1. Step 1: Write the proportion equation
   31,872 : 71,760 = 71,760 : x
2. Step 2: Convert to fraction form
   31,872/71,760 = 71,760/x
3. Step 3: Cross multiply
   31,872x = 71,760 × 71,760
4. Step 4: Simplify right side
   31,872x = 5,149,497,600
5. Step 5: Solve for x
   x = 5,149,497,600/31,872
6. Step 6: Final answer
   x = 161,568.07