Finding the Third Proportional to 11,680 and 17,951

Step by Step Solution

1. Step 1: Write the proportion equation
   11,680 : 17,951 = 17,951 : x
2. Step 2: Convert to fraction form
   11,680/17,951 = 17,951/x
3. Step 3: Cross multiply
   11,680x = 17,951 × 17,951
4. Step 4: Simplify right side
   11,680x = 322,238,401
5. Step 5: Solve for x
   x = 322,238,401/11,680
6. Step 6: Final answer
   x = 27,588.90