Finding the Third Proportional to 5,134.69 and 7,919.72

Step by Step Solution

1. Step 1: Write the proportion equation
   5,134.69 : 7,919.72 = 7,919.72 : x
2. Step 2: Convert to fraction form
   5,134.69/7,919.72 = 7,919.72/x
3. Step 3: Cross multiply
   5,134.69x = 7,919.72 × 7,919.72
4. Step 4: Simplify right side
   5,134.69x = 62,721,945.08
5. Step 5: Solve for x
   x = 62,721,945.08/5,134.69
6. Step 6: Final answer
   x = 12,215.34