Finding the Third Proportional to 9,678 and 13,521

Step by Step Solution

1. Step 1: Write the proportion equation
   9,678 : 13,521 = 13,521 : x
2. Step 2: Convert to fraction form
   9,678/13,521 = 13,521/x
3. Step 3: Cross multiply
   9,678x = 13,521 × 13,521
4. Step 4: Simplify right side
   9,678x = 182,817,441
5. Step 5: Solve for x
   x = 182,817,441/9,678
6. Step 6: Final answer
   x = 18,890.00