Finding the Third Proportional to 2,561 and 5,486

Step by Step Solution

1. Step 1: Write the proportion equation
   2,561 : 5,486 = 5,486 : x
2. Step 2: Convert to fraction form
   2,561/5,486 = 5,486/x
3. Step 3: Cross multiply
   2,561x = 5,486 × 5,486
4. Step 4: Simplify right side
   2,561x = 30,096,196
5. Step 5: Solve for x
   x = 30,096,196/2,561
6. Step 6: Final answer
   x = 11,751.74