Finding the Third Proportional to 6,005 and 12,833

Step by Step Solution

1. Step 1: Write the proportion equation
   6,005 : 12,833 = 12,833 : x
2. Step 2: Convert to fraction form
   6,005/12,833 = 12,833/x
3. Step 3: Cross multiply
   6,005x = 12,833 × 12,833
4. Step 4: Simplify right side
   6,005x = 164,685,889
5. Step 5: Solve for x
   x = 164,685,889/6,005
6. Step 6: Final answer
   x = 27,424.79