Finding the Third Proportional to 8,738 and 10,963

Step by Step Solution

1. Step 1: Write the proportion equation
   8,738 : 10,963 = 10,963 : x
2. Step 2: Convert to fraction form
   8,738/10,963 = 10,963/x
3. Step 3: Cross multiply
   8,738x = 10,963 × 10,963
4. Step 4: Simplify right side
   8,738x = 120,187,369
5. Step 5: Solve for x
   x = 120,187,369/8,738
6. Step 6: Final answer
   x = 13,754.56