Finding the Third Proportional to 9,500 and 13,308

Step by Step Solution

1. Step 1: Write the proportion equation
   9,500 : 13,308 = 13,308 : x
2. Step 2: Convert to fraction form
   9,500/13,308 = 13,308/x
3. Step 3: Cross multiply
   9,500x = 13,308 × 13,308
4. Step 4: Simplify right side
   9,500x = 177,102,864
5. Step 5: Solve for x
   x = 177,102,864/9,500
6. Step 6: Final answer
   x = 18,642.41