Finding the Third Proportional to 21,846 and 46,806

Step by Step Solution

1. Step 1: Write the proportion equation
   21,846 : 46,806 = 46,806 : x
2. Step 2: Convert to fraction form
   21,846/46,806 = 46,806/x
3. Step 3: Cross multiply
   21,846x = 46,806 × 46,806
4. Step 4: Simplify right side
   21,846x = 2,190,801,636
5. Step 5: Solve for x
   x = 2,190,801,636/21,846
6. Step 6: Final answer
   x = 100,283.88