Finding the Third Proportional to 12,580 and 17,584

Step by Step Solution

1. Step 1: Write the proportion equation
   12,580 : 17,584 = 17,584 : x
2. Step 2: Convert to fraction form
   12,580/17,584 = 17,584/x
3. Step 3: Cross multiply
   12,580x = 17,584 × 17,584
4. Step 4: Simplify right side
   12,580x = 309,197,056
5. Step 5: Solve for x
   x = 309,197,056/12,580
6. Step 6: Final answer
   x = 24,578.46