Finding the Third Proportional to 2,681 and 5,212

Step by Step Solution

1. Step 1: Write the proportion equation
   2,681 : 5,212 = 5,212 : x
2. Step 2: Convert to fraction form
   2,681/5,212 = 5,212/x
3. Step 3: Cross multiply
   2,681x = 5,212 × 5,212
4. Step 4: Simplify right side
   2,681x = 27,164,944
5. Step 5: Solve for x
   x = 27,164,944/2,681
6. Step 6: Final answer
   x = 10,132.39