Finding the Third Proportional to 10,434 and 12,270

Step by Step Solution

1. Step 1: Write the proportion equation
   10,434 : 12,270 = 12,270 : x
2. Step 2: Convert to fraction form
   10,434/12,270 = 12,270/x
3. Step 3: Cross multiply
   10,434x = 12,270 × 12,270
4. Step 4: Simplify right side
   10,434x = 150,552,900
5. Step 5: Solve for x
   x = 150,552,900/10,434
6. Step 6: Final answer
   x = 14,429.07