Finding the Third Proportional to 22,164 and 47,256

Step by Step Solution

1. Step 1: Write the proportion equation
   22,164 : 47,256 = 47,256 : x
2. Step 2: Convert to fraction form
   22,164/47,256 = 47,256/x
3. Step 3: Cross multiply
   22,164x = 47,256 × 47,256
4. Step 4: Simplify right side
   22,164x = 2,233,129,536
5. Step 5: Solve for x
   x = 2,233,129,536/22,164
6. Step 6: Final answer
   x = 100,754.81