Finding the Third Proportional to 5,096 and 10,336

Step by Step Solution

1. Step 1: Write the proportion equation
   5,096 : 10,336 = 10,336 : x
2. Step 2: Convert to fraction form
   5,096/10,336 = 10,336/x
3. Step 3: Cross multiply
   5,096x = 10,336 × 10,336
4. Step 4: Simplify right side
   5,096x = 106,832,896
5. Step 5: Solve for x
   x = 106,832,896/5,096
6. Step 6: Final answer
   x = 20,964.07