Finding the Third Proportional to 8,283 and 10,047

Step by Step Solution

1. Step 1: Write the proportion equation
   8,283 : 10,047 = 10,047 : x
2. Step 2: Convert to fraction form
   8,283/10,047 = 10,047/x
3. Step 3: Cross multiply
   8,283x = 10,047 × 10,047
4. Step 4: Simplify right side
   8,283x = 100,942,209
5. Step 5: Solve for x
   x = 100,942,209/8,283
6. Step 6: Final answer
   x = 12,186.67