Finding the Third Proportional to 8,451 and 10,323

Step by Step Solution

1. Step 1: Write the proportion equation
   8,451 : 10,323 = 10,323 : x
2. Step 2: Convert to fraction form
   8,451/10,323 = 10,323/x
3. Step 3: Cross multiply
   8,451x = 10,323 × 10,323
4. Step 4: Simplify right side
   8,451x = 106,564,329
5. Step 5: Solve for x
   x = 106,564,329/8,451
6. Step 6: Final answer
   x = 12,609.67