Finding the Third Proportional to 6,005 and 12,307

Step by Step Solution

1. Step 1: Write the proportion equation
   6,005 : 12,307 = 12,307 : x
2. Step 2: Convert to fraction form
   6,005/12,307 = 12,307/x
3. Step 3: Cross multiply
   6,005x = 12,307 × 12,307
4. Step 4: Simplify right side
   6,005x = 151,462,249
5. Step 5: Solve for x
   x = 151,462,249/6,005
6. Step 6: Final answer
   x = 25,222.69