Finding the Third Proportional to 7,872.19 and 12,286.69

Step by Step Solution

1. Step 1: Write the proportion equation
   7,872.19 : 12,286.69 = 12,286.69 : x
2. Step 2: Convert to fraction form
   7,872.19/12,286.69 = 12,286.69/x
3. Step 3: Cross multiply
   7,872.19x = 12,286.69 × 12,286.69
4. Step 4: Simplify right side
   7,872.19x = 150,962,689.72
5. Step 5: Solve for x
   x = 150,962,689.72/7,872.19
6. Step 6: Final answer
   x = 19,176.71