Finding the Third Proportional to 9,414 and 10,278

Step by Step Solution

1. Step 1: Write the proportion equation
   9,414 : 10,278 = 10,278 : x
2. Step 2: Convert to fraction form
   9,414/10,278 = 10,278/x
3. Step 3: Cross multiply
   9,414x = 10,278 × 10,278
4. Step 4: Simplify right side
   9,414x = 105,637,284
5. Step 5: Solve for x
   x = 105,637,284/9,414
6. Step 6: Final answer
   x = 11,221.30