Finding the Third Proportional to 11,078 and 16,905

Step by Step Solution

1. Step 1: Write the proportion equation
   11,078 : 16,905 = 16,905 : x
2. Step 2: Convert to fraction form
   11,078/16,905 = 16,905/x
3. Step 3: Cross multiply
   11,078x = 16,905 × 16,905
4. Step 4: Simplify right side
   11,078x = 285,779,025
5. Step 5: Solve for x
   x = 285,779,025/11,078
6. Step 6: Final answer
   x = 25,796.99