Finding the Third Proportional to 10,736 and 16,264

Step by Step Solution

1. Step 1: Write the proportion equation
   10,736 : 16,264 = 16,264 : x
2. Step 2: Convert to fraction form
   10,736/16,264 = 16,264/x
3. Step 3: Cross multiply
   10,736x = 16,264 × 16,264
4. Step 4: Simplify right side
   10,736x = 264,517,696
5. Step 5: Solve for x
   x = 264,517,696/10,736
6. Step 6: Final answer
   x = 24,638.38