Finding the Third Proportional to 10,788 and 16,854

Step by Step Solution

1. Step 1: Write the proportion equation
   10,788 : 16,854 = 16,854 : x
2. Step 2: Convert to fraction form
   10,788/16,854 = 16,854/x
3. Step 3: Cross multiply
   10,788x = 16,854 × 16,854
4. Step 4: Simplify right side
   10,788x = 284,057,316
5. Step 5: Solve for x
   x = 284,057,316/10,788
6. Step 6: Final answer
   x = 26,330.86