Finding the Third Proportional to 2,528 and 5,546

Step by Step Solution

1. Step 1: Write the proportion equation
   2,528 : 5,546 = 5,546 : x
2. Step 2: Convert to fraction form
   2,528/5,546 = 5,546/x
3. Step 3: Cross multiply
   2,528x = 5,546 × 5,546
4. Step 4: Simplify right side
   2,528x = 30,758,116
5. Step 5: Solve for x
   x = 30,758,116/2,528
6. Step 6: Final answer
   x = 12,166.98