Finding the Third Proportional to 1,746.14 and 3,584.67

Step by Step Solution

1. Step 1: Write the proportion equation
   1,746.14 : 3,584.67 = 3,584.67 : x
2. Step 2: Convert to fraction form
   1,746.14/3,584.67 = 3,584.67/x
3. Step 3: Cross multiply
   1,746.14x = 3,584.67 × 3,584.67
4. Step 4: Simplify right side
   1,746.14x = 12,849,872.45
5. Step 5: Solve for x
   x = 12,849,872.45/1,746.14
6. Step 6: Final answer
   x = 7,359.01