Finding the Third Proportional to 4,186.13 and 7,129.69

Step by Step Solution

1. Step 1: Write the proportion equation
   4,186.13 : 7,129.69 = 7,129.69 : x
2. Step 2: Convert to fraction form
   4,186.13/7,129.69 = 7,129.69/x
3. Step 3: Cross multiply
   4,186.13x = 7,129.69 × 7,129.69
4. Step 4: Simplify right side
   4,186.13x = 50,832,443.85
5. Step 5: Solve for x
   x = 50,832,443.85/4,186.13
6. Step 6: Final answer
   x = 12,143.08