Finding the Third Proportional to 9,519 and 13,707

Step by Step Solution

1. Step 1: Write the proportion equation
   9,519 : 13,707 = 13,707 : x
2. Step 2: Convert to fraction form
   9,519/13,707 = 13,707/x
3. Step 3: Cross multiply
   9,519x = 13,707 × 13,707
4. Step 4: Simplify right side
   9,519x = 187,881,849
5. Step 5: Solve for x
   x = 187,881,849/9,519
6. Step 6: Final answer
   x = 19,737.56