Finding the Third Proportional to 3,025.69 and 4,534.31

Step by Step Solution

1. Step 1: Write the proportion equation
   3,025.69 : 4,534.31 = 4,534.31 : x
2. Step 2: Convert to fraction form
   3,025.69/4,534.31 = 4,534.31/x
3. Step 3: Cross multiply
   3,025.69x = 4,534.31 × 4,534.31
4. Step 4: Simplify right side
   3,025.69x = 20,559,989.85
5. Step 5: Solve for x
   x = 20,559,989.85/3,025.69
6. Step 6: Final answer
   x = 6,795.15