Finding the Third Proportional to 2,500 and 5,377

Step by Step Solution

1. Step 1: Write the proportion equation
   2,500 : 5,377 = 5,377 : x
2. Step 2: Convert to fraction form
   2,500/5,377 = 5,377/x
3. Step 3: Cross multiply
   2,500x = 5,377 × 5,377
4. Step 4: Simplify right side
   2,500x = 28,912,129
5. Step 5: Solve for x
   x = 28,912,129/2,500
6. Step 6: Final answer
   x = 11,564.85