Finding the Third Proportional to 1,783.69 and 3,691.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,783.69 : 3,691.69 = 3,691.69 : x
2. Step 2: Convert to fraction form
   1,783.69/3,691.69 = 3,691.69/x
3. Step 3: Cross multiply
   1,783.69x = 3,691.69 × 3,691.69
4. Step 4: Simplify right side
   1,783.69x = 13,628,556.60
5. Step 5: Solve for x
   x = 13,628,556.60/1,783.69
6. Step 6: Final answer
   x = 7,640.66