Finding the Third Proportional to 9,588 and 13,383

Step by Step Solution

1. Step 1: Write the proportion equation
   9,588 : 13,383 = 13,383 : x
2. Step 2: Convert to fraction form
   9,588/13,383 = 13,383/x
3. Step 3: Cross multiply
   9,588x = 13,383 × 13,383
4. Step 4: Simplify right side
   9,588x = 179,104,689
5. Step 5: Solve for x
   x = 179,104,689/9,588
6. Step 6: Final answer
   x = 18,680.09