Finding the Third Proportional to 9,636 and 12,588

Step by Step Solution

1. Step 1: Write the proportion equation
   9,636 : 12,588 = 12,588 : x
2. Step 2: Convert to fraction form
   9,636/12,588 = 12,588/x
3. Step 3: Cross multiply
   9,636x = 12,588 × 12,588
4. Step 4: Simplify right side
   9,636x = 158,457,744
5. Step 5: Solve for x
   x = 158,457,744/9,636
6. Step 6: Final answer
   x = 16,444.35