Finding the Third Proportional to 7,267 and 10,414

Step by Step Solution

1. Step 1: Write the proportion equation
   7,267 : 10,414 = 10,414 : x
2. Step 2: Convert to fraction form
   7,267/10,414 = 10,414/x
3. Step 3: Cross multiply
   7,267x = 10,414 × 10,414
4. Step 4: Simplify right side
   7,267x = 108,451,396
5. Step 5: Solve for x
   x = 108,451,396/7,267
6. Step 6: Final answer
   x = 14,923.82