Finding the Third Proportional to 5,878 and 12,836

Step by Step Solution

1. Step 1: Write the proportion equation
   5,878 : 12,836 = 12,836 : x
2. Step 2: Convert to fraction form
   5,878/12,836 = 12,836/x
3. Step 3: Cross multiply
   5,878x = 12,836 × 12,836
4. Step 4: Simplify right side
   5,878x = 164,762,896
5. Step 5: Solve for x
   x = 164,762,896/5,878
6. Step 6: Final answer
   x = 28,030.43