Finding the Third Proportional to 12,584 and 17,916

Step by Step Solution

1. Step 1: Write the proportion equation
   12,584 : 17,916 = 17,916 : x
2. Step 2: Convert to fraction form
   12,584/17,916 = 17,916/x
3. Step 3: Cross multiply
   12,584x = 17,916 × 17,916
4. Step 4: Simplify right side
   12,584x = 320,983,056
5. Step 5: Solve for x
   x = 320,983,056/12,584
6. Step 6: Final answer
   x = 25,507.24