Finding the Third Proportional to 2,096 and 5,009

Step by Step Solution

1. Step 1: Write the proportion equation
   2,096 : 5,009 = 5,009 : x
2. Step 2: Convert to fraction form
   2,096/5,009 = 5,009/x
3. Step 3: Cross multiply
   2,096x = 5,009 × 5,009
4. Step 4: Simplify right side
   2,096x = 25,090,081
5. Step 5: Solve for x
   x = 25,090,081/2,096
6. Step 6: Final answer
   x = 11,970.46