Finding the Third Proportional to 9,546 and 14,005

Step by Step Solution

1. Step 1: Write the proportion equation
   9,546 : 14,005 = 14,005 : x
2. Step 2: Convert to fraction form
   9,546/14,005 = 14,005/x
3. Step 3: Cross multiply
   9,546x = 14,005 × 14,005
4. Step 4: Simplify right side
   9,546x = 196,140,025
5. Step 5: Solve for x
   x = 196,140,025/9,546
6. Step 6: Final answer
   x = 20,546.83