Finding the Third Proportional to 4,609.41 and 7,345.69

Step by Step Solution

1. Step 1: Write the proportion equation
   4,609.41 : 7,345.69 = 7,345.69 : x
2. Step 2: Convert to fraction form
   4,609.41/7,345.69 = 7,345.69/x
3. Step 3: Cross multiply
   4,609.41x = 7,345.69 × 7,345.69
4. Step 4: Simplify right side
   4,609.41x = 53,959,124.85
5. Step 5: Solve for x
   x = 53,959,124.85/4,609.41
6. Step 6: Final answer
   x = 11,706.31