Finding the Third Proportional to 11,674 and 17,945

Step by Step Solution

1. Step 1: Write the proportion equation
   11,674 : 17,945 = 17,945 : x
2. Step 2: Convert to fraction form
   11,674/17,945 = 17,945/x
3. Step 3: Cross multiply
   11,674x = 17,945 × 17,945
4. Step 4: Simplify right side
   11,674x = 322,023,025
5. Step 5: Solve for x
   x = 322,023,025/11,674
6. Step 6: Final answer
   x = 27,584.63