Finding the Third Proportional to 10,397 and 12,005

Step by Step Solution

1. Step 1: Write the proportion equation
   10,397 : 12,005 = 12,005 : x
2. Step 2: Convert to fraction form
   10,397/12,005 = 12,005/x
3. Step 3: Cross multiply
   10,397x = 12,005 × 12,005
4. Step 4: Simplify right side
   10,397x = 144,120,025
5. Step 5: Solve for x
   x = 144,120,025/10,397
6. Step 6: Final answer
   x = 13,861.69