Finding the Third Proportional to 12,584 and 17,591

Step by Step Solution

1. Step 1: Write the proportion equation
   12,584 : 17,591 = 17,591 : x
2. Step 2: Convert to fraction form
   12,584/17,591 = 17,591/x
3. Step 3: Cross multiply
   12,584x = 17,591 × 17,591
4. Step 4: Simplify right side
   12,584x = 309,443,281
5. Step 5: Solve for x
   x = 309,443,281/12,584
6. Step 6: Final answer
   x = 24,590.22