Finding the Third Proportional to 10,644 and 12,420

Step by Step Solution

1. Step 1: Write the proportion equation
   10,644 : 12,420 = 12,420 : x
2. Step 2: Convert to fraction form
   10,644/12,420 = 12,420/x
3. Step 3: Cross multiply
   10,644x = 12,420 × 12,420
4. Step 4: Simplify right side
   10,644x = 154,256,400
5. Step 5: Solve for x
   x = 154,256,400/10,644
6. Step 6: Final answer
   x = 14,492.33