Finding the Third Proportional to 2,674.69 and 5,941.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,674.69 : 5,941.69 = 5,941.69 : x
2. Step 2: Convert to fraction form
   2,674.69/5,941.69 = 5,941.69/x
3. Step 3: Cross multiply
   2,674.69x = 5,941.69 × 5,941.69
4. Step 4: Simplify right side
   2,674.69x = 35,303,650.35
5. Step 5: Solve for x
   x = 35,303,650.35/2,674.69
6. Step 6: Final answer
   x = 13,199.17