Finding the Third Proportional to 1,649.74 and 3,435.54

Step by Step Solution

1. Step 1: Write the proportion equation
   1,649.74 : 3,435.54 = 3,435.54 : x
2. Step 2: Convert to fraction form
   1,649.74/3,435.54 = 3,435.54/x
3. Step 3: Cross multiply
   1,649.74x = 3,435.54 × 3,435.54
4. Step 4: Simplify right side
   1,649.74x = 11,802,928.65
5. Step 5: Solve for x
   x = 11,802,928.65/1,649.74
6. Step 6: Final answer
   x = 7,154.41