Finding the Third Proportional to 8,757 and 10,377

Step by Step Solution

1. Step 1: Write the proportion equation
   8,757 : 10,377 = 10,377 : x
2. Step 2: Convert to fraction form
   8,757/10,377 = 10,377/x
3. Step 3: Cross multiply
   8,757x = 10,377 × 10,377
4. Step 4: Simplify right side
   8,757x = 107,682,129
5. Step 5: Solve for x
   x = 107,682,129/8,757
6. Step 6: Final answer
   x = 12,296.69