Finding the Third Proportional to 22,355 and 46,546

Step by Step Solution

1. Step 1: Write the proportion equation
   22,355 : 46,546 = 46,546 : x
2. Step 2: Convert to fraction form
   22,355/46,546 = 46,546/x
3. Step 3: Cross multiply
   22,355x = 46,546 × 46,546
4. Step 4: Simplify right side
   22,355x = 2,166,530,116
5. Step 5: Solve for x
   x = 2,166,530,116/22,355
6. Step 6: Final answer
   x = 96,914.79