Finding the Third Proportional to 1,738.69 and 3,547.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,738.69 : 3,547.69 = 3,547.69 : x
2. Step 2: Convert to fraction form
   1,738.69/3,547.69 = 3,547.69/x
3. Step 3: Cross multiply
   1,738.69x = 3,547.69 × 3,547.69
4. Step 4: Simplify right side
   1,738.69x = 12,586,086.60
5. Step 5: Solve for x
   x = 12,586,086.60/1,738.69
6. Step 6: Final answer
   x = 7,238.84