Finding the Third Proportional to 2,558 and 5,485

Step by Step Solution

1. Step 1: Write the proportion equation
   2,558 : 5,485 = 5,485 : x
2. Step 2: Convert to fraction form
   2,558/5,485 = 5,485/x
3. Step 3: Cross multiply
   2,558x = 5,485 × 5,485
4. Step 4: Simplify right side
   2,558x = 30,085,225
5. Step 5: Solve for x
   x = 30,085,225/2,558
6. Step 6: Final answer
   x = 11,761.23