Finding the Third Proportional to 5,906 and 12,849

Step by Step Solution

1. Step 1: Write the proportion equation
   5,906 : 12,849 = 12,849 : x
2. Step 2: Convert to fraction form
   5,906/12,849 = 12,849/x
3. Step 3: Cross multiply
   5,906x = 12,849 × 12,849
4. Step 4: Simplify right side
   5,906x = 165,096,801
5. Step 5: Solve for x
   x = 165,096,801/5,906
6. Step 6: Final answer
   x = 27,954.08