Finding the Third Proportional to 21,845 and 46,546

Step by Step Solution

1. Step 1: Write the proportion equation
   21,845 : 46,546 = 46,546 : x
2. Step 2: Convert to fraction form
   21,845/46,546 = 46,546/x
3. Step 3: Cross multiply
   21,845x = 46,546 × 46,546
4. Step 4: Simplify right side
   21,845x = 2,166,530,116
5. Step 5: Solve for x
   x = 2,166,530,116/21,845
6. Step 6: Final answer
   x = 99,177.39