Finding the Third Proportional to 1,674.42 and 3,646.48

Step by Step Solution

1. Step 1: Write the proportion equation
   1,674.42 : 3,646.48 = 3,646.48 : x
2. Step 2: Convert to fraction form
   1,674.42/3,646.48 = 3,646.48/x
3. Step 3: Cross multiply
   1,674.42x = 3,646.48 × 3,646.48
4. Step 4: Simplify right side
   1,674.42x = 13,296,791.32
5. Step 5: Solve for x
   x = 13,296,791.32/1,674.42
6. Step 6: Final answer
   x = 7,941.12