Finding the Third Proportional to 10,638 and 16,245

Step by Step Solution

1. Step 1: Write the proportion equation
   10,638 : 16,245 = 16,245 : x
2. Step 2: Convert to fraction form
   10,638/16,245 = 16,245/x
3. Step 3: Cross multiply
   10,638x = 16,245 × 16,245
4. Step 4: Simplify right side
   10,638x = 263,900,025
5. Step 5: Solve for x
   x = 263,900,025/10,638
6. Step 6: Final answer
   x = 24,807.30