Finding the Third Proportional to 11,584 and 17,974

Step by Step Solution

1. Step 1: Write the proportion equation
   11,584 : 17,974 = 17,974 : x
2. Step 2: Convert to fraction form
   11,584/17,974 = 17,974/x
3. Step 3: Cross multiply
   11,584x = 17,974 × 17,974
4. Step 4: Simplify right side
   11,584x = 323,064,676
5. Step 5: Solve for x
   x = 323,064,676/11,584
6. Step 6: Final answer
   x = 27,888.87