Finding the Third Proportional to 9,588 and 10,977

Step by Step Solution

1. Step 1: Write the proportion equation
   9,588 : 10,977 = 10,977 : x
2. Step 2: Convert to fraction form
   9,588/10,977 = 10,977/x
3. Step 3: Cross multiply
   9,588x = 10,977 × 10,977
4. Step 4: Simplify right side
   9,588x = 120,494,529
5. Step 5: Solve for x
   x = 120,494,529/9,588
6. Step 6: Final answer
   x = 12,567.22