Finding the Third Proportional to 10,634 and 14,024

Step by Step Solution

1. Step 1: Write the proportion equation
   10,634 : 14,024 = 14,024 : x
2. Step 2: Convert to fraction form
   10,634/14,024 = 14,024/x
3. Step 3: Cross multiply
   10,634x = 14,024 × 14,024
4. Step 4: Simplify right side
   10,634x = 196,672,576
5. Step 5: Solve for x
   x = 196,672,576/10,634
6. Step 6: Final answer
   x = 18,494.69