Finding the Third Proportional to 10,278 and 11,118

Step by Step Solution

1. Step 1: Write the proportion equation
   10,278 : 11,118 = 11,118 : x
2. Step 2: Convert to fraction form
   10,278/11,118 = 11,118/x
3. Step 3: Cross multiply
   10,278x = 11,118 × 11,118
4. Step 4: Simplify right side
   10,278x = 123,609,924
5. Step 5: Solve for x
   x = 123,609,924/10,278
6. Step 6: Final answer
   x = 12,026.65