Finding the Third Proportional to 1,674.47 and 3,646.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,674.47 : 3,646.59 = 3,646.59 : x
2. Step 2: Convert to fraction form
   1,674.47/3,646.59 = 3,646.59/x
3. Step 3: Cross multiply
   1,674.47x = 3,646.59 × 3,646.59
4. Step 4: Simplify right side
   1,674.47x = 13,297,645.98
5. Step 5: Solve for x
   x = 13,297,645.98/1,674.47
6. Step 6: Final answer
   x = 7,941.41