Finding the Third Proportional to 22,256 and 52,016

Step by Step Solution

1. Step 1: Write the proportion equation
   22,256 : 52,016 = 52,016 : x
2. Step 2: Convert to fraction form
   22,256/52,016 = 52,016/x
3. Step 3: Cross multiply
   22,256x = 52,016 × 52,016
4. Step 4: Simplify right side
   22,256x = 2,705,664,256
5. Step 5: Solve for x
   x = 2,705,664,256/22,256
6. Step 6: Final answer
   x = 121,570.10