Finding the Third Proportional to 11,496 and 17,676

Step by Step Solution

1. Step 1: Write the proportion equation
   11,496 : 17,676 = 17,676 : x
2. Step 2: Convert to fraction form
   11,496/17,676 = 17,676/x
3. Step 3: Cross multiply
   11,496x = 17,676 × 17,676
4. Step 4: Simplify right side
   11,496x = 312,440,976
5. Step 5: Solve for x
   x = 312,440,976/11,496
6. Step 6: Final answer
   x = 27,178.23