Finding the Third Proportional to 10,947 and 16,695

Step by Step Solution

1. Step 1: Write the proportion equation
   10,947 : 16,695 = 16,695 : x
2. Step 2: Convert to fraction form
   10,947/16,695 = 16,695/x
3. Step 3: Cross multiply
   10,947x = 16,695 × 16,695
4. Step 4: Simplify right side
   10,947x = 278,723,025
5. Step 5: Solve for x
   x = 278,723,025/10,947
6. Step 6: Final answer
   x = 25,461.13