Finding the Third Proportional to 5,382 and 10,962

Step by Step Solution

1. Step 1: Write the proportion equation
   5,382 : 10,962 = 10,962 : x
2. Step 2: Convert to fraction form
   5,382/10,962 = 10,962/x
3. Step 3: Cross multiply
   5,382x = 10,962 × 10,962
4. Step 4: Simplify right side
   5,382x = 120,165,444
5. Step 5: Solve for x
   x = 120,165,444/5,382
6. Step 6: Final answer
   x = 22,327.28