Finding the Third Proportional to 10,278 and 22,116

Step by Step Solution

1. Step 1: Write the proportion equation
   10,278 : 22,116 = 22,116 : x
2. Step 2: Convert to fraction form
   10,278/22,116 = 22,116/x
3. Step 3: Cross multiply
   10,278x = 22,116 × 22,116
4. Step 4: Simplify right side
   10,278x = 489,117,456
5. Step 5: Solve for x
   x = 489,117,456/10,278
6. Step 6: Final answer
   x = 47,588.78