Finding the Third Proportional to 3,345.47 and 5,614.31

Step by Step Solution

1. Step 1: Write the proportion equation
   3,345.47 : 5,614.31 = 5,614.31 : x
2. Step 2: Convert to fraction form
   3,345.47/5,614.31 = 5,614.31/x
3. Step 3: Cross multiply
   3,345.47x = 5,614.31 × 5,614.31
4. Step 4: Simplify right side
   3,345.47x = 31,520,504.85
5. Step 5: Solve for x
   x = 31,520,504.85/3,345.47
6. Step 6: Final answer
   x = 9,421.85