Finding the Third Proportional to 10,540 and 16,994

Step by Step Solution

1. Step 1: Write the proportion equation
   10,540 : 16,994 = 16,994 : x
2. Step 2: Convert to fraction form
   10,540/16,994 = 16,994/x
3. Step 3: Cross multiply
   10,540x = 16,994 × 16,994
4. Step 4: Simplify right side
   10,540x = 288,796,036
5. Step 5: Solve for x
   x = 288,796,036/10,540
6. Step 6: Final answer
   x = 27,400.00