Finding the Third Proportional to 11,814 and 17,774

Step by Step Solution

1. Step 1: Write the proportion equation
   11,814 : 17,774 = 17,774 : x
2. Step 2: Convert to fraction form
   11,814/17,774 = 17,774/x
3. Step 3: Cross multiply
   11,814x = 17,774 × 17,774
4. Step 4: Simplify right side
   11,814x = 315,915,076
5. Step 5: Solve for x
   x = 315,915,076/11,814
6. Step 6: Final answer
   x = 26,740.74