Finding the Third Proportional to 20,256 and 30,654

Step by Step Solution

1. Step 1: Write the proportion equation
   20,256 : 30,654 = 30,654 : x
2. Step 2: Convert to fraction form
   20,256/30,654 = 30,654/x
3. Step 3: Cross multiply
   20,256x = 30,654 × 30,654
4. Step 4: Simplify right side
   20,256x = 939,667,716
5. Step 5: Solve for x
   x = 939,667,716/20,256
6. Step 6: Final answer
   x = 46,389.60