Finding the Third Proportional to 10,440 and 12,276

Step by Step Solution

1. Step 1: Write the proportion equation
   10,440 : 12,276 = 12,276 : x
2. Step 2: Convert to fraction form
   10,440/12,276 = 12,276/x
3. Step 3: Cross multiply
   10,440x = 12,276 × 12,276
4. Step 4: Simplify right side
   10,440x = 150,700,176
5. Step 5: Solve for x
   x = 150,700,176/10,440
6. Step 6: Final answer
   x = 14,434.88