Finding the Third Proportional to 8,410 and 10,282

Step by Step Solution

1. Step 1: Write the proportion equation
   8,410 : 10,282 = 10,282 : x
2. Step 2: Convert to fraction form
   8,410/10,282 = 10,282/x
3. Step 3: Cross multiply
   8,410x = 10,282 × 10,282
4. Step 4: Simplify right side
   8,410x = 105,719,524
5. Step 5: Solve for x
   x = 105,719,524/8,410
6. Step 6: Final answer
   x = 12,570.69