Finding the Third Proportional to 9,538 and 14,167

Step by Step Solution

1. Step 1: Write the proportion equation
   9,538 : 14,167 = 14,167 : x
2. Step 2: Convert to fraction form
   9,538/14,167 = 14,167/x
3. Step 3: Cross multiply
   9,538x = 14,167 × 14,167
4. Step 4: Simplify right side
   9,538x = 200,703,889
5. Step 5: Solve for x
   x = 200,703,889/9,538
6. Step 6: Final answer
   x = 21,042.55