Finding the Third Proportional to 10,221 and 22,326

Step by Step Solution

1. Step 1: Write the proportion equation
   10,221 : 22,326 = 22,326 : x
2. Step 2: Convert to fraction form
   10,221/22,326 = 22,326/x
3. Step 3: Cross multiply
   10,221x = 22,326 × 22,326
4. Step 4: Simplify right side
   10,221x = 498,450,276
5. Step 5: Solve for x
   x = 498,450,276/10,221
6. Step 6: Final answer
   x = 48,767.27