Finding the Third Proportional to 8,858 and 10,114

Step by Step Solution

1. Step 1: Write the proportion equation
   8,858 : 10,114 = 10,114 : x
2. Step 2: Convert to fraction form
   8,858/10,114 = 10,114/x
3. Step 3: Cross multiply
   8,858x = 10,114 × 10,114
4. Step 4: Simplify right side
   8,858x = 102,292,996
5. Step 5: Solve for x
   x = 102,292,996/8,858
6. Step 6: Final answer
   x = 11,548.09