Finding the Third Proportional to 2,546 and 3,892

Step by Step Solution

1. Step 1: Write the proportion equation
   2,546 : 3,892 = 3,892 : x
2. Step 2: Convert to fraction form
   2,546/3,892 = 3,892/x
3. Step 3: Cross multiply
   2,546x = 3,892 × 3,892
4. Step 4: Simplify right side
   2,546x = 15,147,664
5. Step 5: Solve for x
   x = 15,147,664/2,546
6. Step 6: Final answer
   x = 5,949.59