Finding the Third Proportional to 8,027 and 10,654

Step by Step Solution

1. Step 1: Write the proportion equation
   8,027 : 10,654 = 10,654 : x
2. Step 2: Convert to fraction form
   8,027/10,654 = 10,654/x
3. Step 3: Cross multiply
   8,027x = 10,654 × 10,654
4. Step 4: Simplify right side
   8,027x = 113,507,716
5. Step 5: Solve for x
   x = 113,507,716/8,027
6. Step 6: Final answer
   x = 14,140.74