Finding the Third Proportional to 5,882 and 12,844

Step by Step Solution

1. Step 1: Write the proportion equation
   5,882 : 12,844 = 12,844 : x
2. Step 2: Convert to fraction form
   5,882/12,844 = 12,844/x
3. Step 3: Cross multiply
   5,882x = 12,844 × 12,844
4. Step 4: Simplify right side
   5,882x = 164,968,336
5. Step 5: Solve for x
   x = 164,968,336/5,882
6. Step 6: Final answer
   x = 28,046.30