Finding the Third Proportional to 5,899 and 12,839

Step by Step Solution

1. Step 1: Write the proportion equation
   5,899 : 12,839 = 12,839 : x
2. Step 2: Convert to fraction form
   5,899/12,839 = 12,839/x
3. Step 3: Cross multiply
   5,899x = 12,839 × 12,839
4. Step 4: Simplify right side
   5,899x = 164,839,921
5. Step 5: Solve for x
   x = 164,839,921/5,899
6. Step 6: Final answer
   x = 27,943.71