Finding the Third Proportional to 21,285 and 46,256

Step by Step Solution

1. Step 1: Write the proportion equation
   21,285 : 46,256 = 46,256 : x
2. Step 2: Convert to fraction form
   21,285/46,256 = 46,256/x
3. Step 3: Cross multiply
   21,285x = 46,256 × 46,256
4. Step 4: Simplify right side
   21,285x = 2,139,617,536
5. Step 5: Solve for x
   x = 2,139,617,536/21,285
6. Step 6: Final answer
   x = 100,522.32