Finding the Third Proportional to 8,778 and 10,146

Step by Step Solution

1. Step 1: Write the proportion equation
   8,778 : 10,146 = 10,146 : x
2. Step 2: Convert to fraction form
   8,778/10,146 = 10,146/x
3. Step 3: Cross multiply
   8,778x = 10,146 × 10,146
4. Step 4: Simplify right side
   8,778x = 102,941,316
5. Step 5: Solve for x
   x = 102,941,316/8,778
6. Step 6: Final answer
   x = 11,727.19