Finding the Third Proportional to 21,530 and 46,456

Step by Step Solution

1. Step 1: Write the proportion equation
   21,530 : 46,456 = 46,456 : x
2. Step 2: Convert to fraction form
   21,530/46,456 = 46,456/x
3. Step 3: Cross multiply
   21,530x = 46,456 × 46,456
4. Step 4: Simplify right side
   21,530x = 2,158,159,936
5. Step 5: Solve for x
   x = 2,158,159,936/21,530
6. Step 6: Final answer
   x = 100,239.66