Finding the Third Proportional to 9,466 and 13,538

Step by Step Solution

1. Step 1: Write the proportion equation
   9,466 : 13,538 = 13,538 : x
2. Step 2: Convert to fraction form
   9,466/13,538 = 13,538/x
3. Step 3: Cross multiply
   9,466x = 13,538 × 13,538
4. Step 4: Simplify right side
   9,466x = 183,277,444
5. Step 5: Solve for x
   x = 183,277,444/9,466
6. Step 6: Final answer
   x = 19,361.66