Finding the Third Proportional to 10,584 and 16,588

Step by Step Solution

1. Step 1: Write the proportion equation
   10,584 : 16,588 = 16,588 : x
2. Step 2: Convert to fraction form
   10,584/16,588 = 16,588/x
3. Step 3: Cross multiply
   10,584x = 16,588 × 16,588
4. Step 4: Simplify right side
   10,584x = 275,161,744
5. Step 5: Solve for x
   x = 275,161,744/10,584
6. Step 6: Final answer
   x = 25,997.90