Finding the Third Proportional to 8,406 and 10,278

Step by Step Solution

1. Step 1: Write the proportion equation
   8,406 : 10,278 = 10,278 : x
2. Step 2: Convert to fraction form
   8,406/10,278 = 10,278/x
3. Step 3: Cross multiply
   8,406x = 10,278 × 10,278
4. Step 4: Simplify right side
   8,406x = 105,637,284
5. Step 5: Solve for x
   x = 105,637,284/8,406
6. Step 6: Final answer
   x = 12,566.89