Finding the Third Proportional to 3,842 and 5,872

Step by Step Solution

1. Step 1: Write the proportion equation
   3,842 : 5,872 = 5,872 : x
2. Step 2: Convert to fraction form
   3,842/5,872 = 5,872/x
3. Step 3: Cross multiply
   3,842x = 5,872 × 5,872
4. Step 4: Simplify right side
   3,842x = 34,480,384
5. Step 5: Solve for x
   x = 34,480,384/3,842
6. Step 6: Final answer
   x = 8,974.59