Finding the Third Proportional to 10,736 and 22,688

Step by Step Solution

1. Step 1: Write the proportion equation
   10,736 : 22,688 = 22,688 : x
2. Step 2: Convert to fraction form
   10,736/22,688 = 22,688/x
3. Step 3: Cross multiply
   10,736x = 22,688 × 22,688
4. Step 4: Simplify right side
   10,736x = 514,745,344
5. Step 5: Solve for x
   x = 514,745,344/10,736
6. Step 6: Final answer
   x = 47,945.73