Finding the Third Proportional to 10,191 and 22,356

Step by Step Solution

1. Step 1: Write the proportion equation
   10,191 : 22,356 = 22,356 : x
2. Step 2: Convert to fraction form
   10,191/22,356 = 22,356/x
3. Step 3: Cross multiply
   10,191x = 22,356 × 22,356
4. Step 4: Simplify right side
   10,191x = 499,790,736
5. Step 5: Solve for x
   x = 499,790,736/10,191
6. Step 6: Final answer
   x = 49,042.36