Finding the Third Proportional to 20,225 and 30,256

Step by Step Solution

1. Step 1: Write the proportion equation
   20,225 : 30,256 = 30,256 : x
2. Step 2: Convert to fraction form
   20,225/30,256 = 30,256/x
3. Step 3: Cross multiply
   20,225x = 30,256 × 30,256
4. Step 4: Simplify right side
   20,225x = 915,425,536
5. Step 5: Solve for x
   x = 915,425,536/20,225
6. Step 6: Final answer
   x = 45,262.08