Finding the Third Proportional to 9,517 and 13,708

Step by Step Solution

1. Step 1: Write the proportion equation
   9,517 : 13,708 = 13,708 : x
2. Step 2: Convert to fraction form
   9,517/13,708 = 13,708/x
3. Step 3: Cross multiply
   9,517x = 13,708 × 13,708
4. Step 4: Simplify right side
   9,517x = 187,909,264
5. Step 5: Solve for x
   x = 187,909,264/9,517
6. Step 6: Final answer
   x = 19,744.59