Finding the Third Proportional to 7,380 and 10,965

Step by Step Solution

1. Step 1: Write the proportion equation
   7,380 : 10,965 = 10,965 : x
2. Step 2: Convert to fraction form
   7,380/10,965 = 10,965/x
3. Step 3: Cross multiply
   7,380x = 10,965 × 10,965
4. Step 4: Simplify right side
   7,380x = 120,231,225
5. Step 5: Solve for x
   x = 120,231,225/7,380
6. Step 6: Final answer
   x = 16,291.49