Finding the Third Proportional to 11,640 and 17,896

Step by Step Solution

1. Step 1: Write the proportion equation
   11,640 : 17,896 = 17,896 : x
2. Step 2: Convert to fraction form
   11,640/17,896 = 17,896/x
3. Step 3: Cross multiply
   11,640x = 17,896 × 17,896
4. Step 4: Simplify right side
   11,640x = 320,266,816
5. Step 5: Solve for x
   x = 320,266,816/11,640
6. Step 6: Final answer
   x = 27,514.33