Finding the Third Proportional to 10,164 and 22,176

Step by Step Solution

1. Step 1: Write the proportion equation
   10,164 : 22,176 = 22,176 : x
2. Step 2: Convert to fraction form
   10,164/22,176 = 22,176/x
3. Step 3: Cross multiply
   10,164x = 22,176 × 22,176
4. Step 4: Simplify right side
   10,164x = 491,774,976
5. Step 5: Solve for x
   x = 491,774,976/10,164
6. Step 6: Final answer
   x = 48,384