Finding the Third Proportional to 11,826 and 17,118

Step by Step Solution

1. Step 1: Write the proportion equation
   11,826 : 17,118 = 17,118 : x
2. Step 2: Convert to fraction form
   11,826/17,118 = 17,118/x
3. Step 3: Cross multiply
   11,826x = 17,118 × 17,118
4. Step 4: Simplify right side
   11,826x = 293,025,924
5. Step 5: Solve for x
   x = 293,025,924/11,826
6. Step 6: Final answer
   x = 24,778.11