Finding the Third Proportional to 1,756.69 and 3,674.74

Step by Step Solution

1. Step 1: Write the proportion equation
   1,756.69 : 3,674.74 = 3,674.74 : x
2. Step 2: Convert to fraction form
   1,756.69/3,674.74 = 3,674.74/x
3. Step 3: Cross multiply
   1,756.69x = 3,674.74 × 3,674.74
4. Step 4: Simplify right side
   1,756.69x = 13,503,730.14
5. Step 5: Solve for x
   x = 13,503,730.14/1,756.69
6. Step 6: Final answer
   x = 7,687.04