Finding the Third Proportional to 10,468 and 12,324

Step by Step Solution

1. Step 1: Write the proportion equation
   10,468 : 12,324 = 12,324 : x
2. Step 2: Convert to fraction form
   10,468/12,324 = 12,324/x
3. Step 3: Cross multiply
   10,468x = 12,324 × 12,324
4. Step 4: Simplify right side
   10,468x = 151,880,976
5. Step 5: Solve for x
   x = 151,880,976/10,468
6. Step 6: Final answer
   x = 14,509.07