Finding the Third Proportional to 1,730.25 and 3,706.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,730.25 : 3,706.69 = 3,706.69 : x
2. Step 2: Convert to fraction form
   1,730.25/3,706.69 = 3,706.69/x
3. Step 3: Cross multiply
   1,730.25x = 3,706.69 × 3,706.69
4. Step 4: Simplify right side
   1,730.25x = 13,739,532.22
5. Step 5: Solve for x
   x = 13,739,532.22/1,730.25
6. Step 6: Final answer
   x = 7,940.78