Finding the Third Proportional to 10,396 and 22,223

Step by Step Solution

1. Step 1: Write the proportion equation
   10,396 : 22,223 = 22,223 : x
2. Step 2: Convert to fraction form
   10,396/22,223 = 22,223/x
3. Step 3: Cross multiply
   10,396x = 22,223 × 22,223
4. Step 4: Simplify right side
   10,396x = 493,861,729
5. Step 5: Solve for x
   x = 493,861,729/10,396
6. Step 6: Final answer
   x = 47,504.98