Finding the Third Proportional to 10,210 and 22,243

Step by Step Solution

1. Step 1: Write the proportion equation
   10,210 : 22,243 = 22,243 : x
2. Step 2: Convert to fraction form
   10,210/22,243 = 22,243/x
3. Step 3: Cross multiply
   10,210x = 22,243 × 22,243
4. Step 4: Simplify right side
   10,210x = 494,751,049
5. Step 5: Solve for x
   x = 494,751,049/10,210
6. Step 6: Final answer
   x = 48,457.50