Finding the Third Proportional to 21,844 and 46,801

Step by Step Solution

1. Step 1: Write the proportion equation
   21,844 : 46,801 = 46,801 : x
2. Step 2: Convert to fraction form
   21,844/46,801 = 46,801/x
3. Step 3: Cross multiply
   21,844x = 46,801 × 46,801
4. Step 4: Simplify right side
   21,844x = 2,190,333,601
5. Step 5: Solve for x
   x = 2,190,333,601/21,844
6. Step 6: Final answer
   x = 100,271.64