Finding the Third Proportional to 5,035 and 10,223

Step by Step Solution

1. Step 1: Write the proportion equation
   5,035 : 10,223 = 10,223 : x
2. Step 2: Convert to fraction form
   5,035/10,223 = 10,223/x
3. Step 3: Cross multiply
   5,035x = 10,223 × 10,223
4. Step 4: Simplify right side
   5,035x = 104,509,729
5. Step 5: Solve for x
   x = 104,509,729/5,035
6. Step 6: Final answer
   x = 20,756.65