Finding the Third Proportional to 9,500 and 13,683

Step by Step Solution

1. Step 1: Write the proportion equation
   9,500 : 13,683 = 13,683 : x
2. Step 2: Convert to fraction form
   9,500/13,683 = 13,683/x
3. Step 3: Cross multiply
   9,500x = 13,683 × 13,683
4. Step 4: Simplify right side
   9,500x = 187,224,489
5. Step 5: Solve for x
   x = 187,224,489/9,500
6. Step 6: Final answer
   x = 19,707.84