Finding the Third Proportional to 1,604.34 and 3,448.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,604.34 : 3,448.31 = 3,448.31 : x
2. Step 2: Convert to fraction form
   1,604.34/3,448.31 = 3,448.31/x
3. Step 3: Cross multiply
   1,604.34x = 3,448.31 × 3,448.31
4. Step 4: Simplify right side
   1,604.34x = 11,890,859.10
5. Step 5: Solve for x
   x = 11,890,859.10/1,604.34
6. Step 6: Final answer
   x = 7,411.67