Finding the Third Proportional to 10,027 and 21,278

Step by Step Solution

1. Step 1: Write the proportion equation
   10,027 : 21,278 = 21,278 : x
2. Step 2: Convert to fraction form
   10,027/21,278 = 21,278/x
3. Step 3: Cross multiply
   10,027x = 21,278 × 21,278
4. Step 4: Simplify right side
   10,027x = 452,753,284
5. Step 5: Solve for x
   x = 452,753,284/10,027
6. Step 6: Final answer
   x = 45,153.41