Finding the Third Proportional to 2,377 and 5,554

Step by Step Solution

1. Step 1: Write the proportion equation
   2,377 : 5,554 = 5,554 : x
2. Step 2: Convert to fraction form
   2,377/5,554 = 5,554/x
3. Step 3: Cross multiply
   2,377x = 5,554 × 5,554
4. Step 4: Simplify right side
   2,377x = 30,846,916
5. Step 5: Solve for x
   x = 30,846,916/2,377
6. Step 6: Final answer
   x = 12,977.25