Finding the Third Proportional to 11,600 and 17,966

Step by Step Solution

1. Step 1: Write the proportion equation
   11,600 : 17,966 = 17,966 : x
2. Step 2: Convert to fraction form
   11,600/17,966 = 17,966/x
3. Step 3: Cross multiply
   11,600x = 17,966 × 17,966
4. Step 4: Simplify right side
   11,600x = 322,777,156
5. Step 5: Solve for x
   x = 322,777,156/11,600
6. Step 6: Final answer
   x = 27,825.62