Finding the Third Proportional to 9,538 and 13,200

Step by Step Solution

1. Step 1: Write the proportion equation
   9,538 : 13,200 = 13,200 : x
2. Step 2: Convert to fraction form
   9,538/13,200 = 13,200/x
3. Step 3: Cross multiply
   9,538x = 13,200 × 13,200
4. Step 4: Simplify right side
   9,538x = 174,240,000
5. Step 5: Solve for x
   x = 174,240,000/9,538
6. Step 6: Final answer
   x = 18,267.98