Finding the Third Proportional to 4,186.69 and 10,876.78

Step by Step Solution

1. Step 1: Write the proportion equation
   4,186.69 : 10,876.78 = 10,876.78 : x
2. Step 2: Convert to fraction form
   4,186.69/10,876.78 = 10,876.78/x
3. Step 3: Cross multiply
   4,186.69x = 10,876.78 × 10,876.78
4. Step 4: Simplify right side
   4,186.69x = 118,304,370.36
5. Step 5: Solve for x
   x = 118,304,370.36/4,186.69
6. Step 6: Final answer
   x = 28,257.27