Finding the Third Proportional to 22,116 and 46,824

Step by Step Solution

1. Step 1: Write the proportion equation
   22,116 : 46,824 = 46,824 : x
2. Step 2: Convert to fraction form
   22,116/46,824 = 46,824/x
3. Step 3: Cross multiply
   22,116x = 46,824 × 46,824
4. Step 4: Simplify right side
   22,116x = 2,192,486,976
5. Step 5: Solve for x
   x = 2,192,486,976/22,116
6. Step 6: Final answer
   x = 99,135.78