Finding the Third Proportional to 10,814 and 14,538

Step by Step Solution

1. Step 1: Write the proportion equation
   10,814 : 14,538 = 14,538 : x
2. Step 2: Convert to fraction form
   10,814/14,538 = 14,538/x
3. Step 3: Cross multiply
   10,814x = 14,538 × 14,538
4. Step 4: Simplify right side
   10,814x = 211,353,444
5. Step 5: Solve for x
   x = 211,353,444/10,814
6. Step 6: Final answer
   x = 19,544.43