Finding the Third Proportional to 9,736 and 13,708

Step by Step Solution

1. Step 1: Write the proportion equation
   9,736 : 13,708 = 13,708 : x
2. Step 2: Convert to fraction form
   9,736/13,708 = 13,708/x
3. Step 3: Cross multiply
   9,736x = 13,708 × 13,708
4. Step 4: Simplify right side
   9,736x = 187,909,264
5. Step 5: Solve for x
   x = 187,909,264/9,736
6. Step 6: Final answer
   x = 19,300.46