Finding the Third Proportional to 12,584 and 17,268

Step by Step Solution

1. Step 1: Write the proportion equation
   12,584 : 17,268 = 17,268 : x
2. Step 2: Convert to fraction form
   12,584/17,268 = 17,268/x
3. Step 3: Cross multiply
   12,584x = 17,268 × 17,268
4. Step 4: Simplify right side
   12,584x = 298,183,824
5. Step 5: Solve for x
   x = 298,183,824/12,584
6. Step 6: Final answer
   x = 23,695.47