Finding the Third Proportional to 8,250 and 10,977

Step by Step Solution

1. Step 1: Write the proportion equation
   8,250 : 10,977 = 10,977 : x
2. Step 2: Convert to fraction form
   8,250/10,977 = 10,977/x
3. Step 3: Cross multiply
   8,250x = 10,977 × 10,977
4. Step 4: Simplify right side
   8,250x = 120,494,529
5. Step 5: Solve for x
   x = 120,494,529/8,250
6. Step 6: Final answer
   x = 14,605.40