Finding the Third Proportional to 9,909 and 13,588

Step by Step Solution

1. Step 1: Write the proportion equation
   9,909 : 13,588 = 13,588 : x
2. Step 2: Convert to fraction form
   9,909/13,588 = 13,588/x
3. Step 3: Cross multiply
   9,909x = 13,588 × 13,588
4. Step 4: Simplify right side
   9,909x = 184,633,744
5. Step 5: Solve for x
   x = 184,633,744/9,909
6. Step 6: Final answer
   x = 18,632.93