Finding the Third Proportional to 11,560 and 17,906

Step by Step Solution

1. Step 1: Write the proportion equation
   11,560 : 17,906 = 17,906 : x
2. Step 2: Convert to fraction form
   11,560/17,906 = 17,906/x
3. Step 3: Cross multiply
   11,560x = 17,906 × 17,906
4. Step 4: Simplify right side
   11,560x = 320,624,836
5. Step 5: Solve for x
   x = 320,624,836/11,560
6. Step 6: Final answer
   x = 27,735.71