Finding the Third Proportional to 11,200 and 22,116

Step by Step Solution

1. Step 1: Write the proportion equation
   11,200 : 22,116 = 22,116 : x
2. Step 2: Convert to fraction form
   11,200/22,116 = 22,116/x
3. Step 3: Cross multiply
   11,200x = 22,116 × 22,116
4. Step 4: Simplify right side
   11,200x = 489,117,456
5. Step 5: Solve for x
   x = 489,117,456/11,200
6. Step 6: Final answer
   x = 43,671.20