Finding the Third Proportional to 9,538 and 12,835

Step by Step Solution

1. Step 1: Write the proportion equation
   9,538 : 12,835 = 12,835 : x
2. Step 2: Convert to fraction form
   9,538/12,835 = 12,835/x
3. Step 3: Cross multiply
   9,538x = 12,835 × 12,835
4. Step 4: Simplify right side
   9,538x = 164,737,225
5. Step 5: Solve for x
   x = 164,737,225/9,538
6. Step 6: Final answer
   x = 17,271.67