Finding the Third Proportional to 1,619.16 and 3,496.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,619.16 : 3,496.78 = 3,496.78 : x
2. Step 2: Convert to fraction form
   1,619.16/3,496.78 = 3,496.78/x
3. Step 3: Cross multiply
   1,619.16x = 3,496.78 × 3,496.78
4. Step 4: Simplify right side
   1,619.16x = 12,227,479.11
5. Step 5: Solve for x
   x = 12,227,479.11/1,619.16
6. Step 6: Final answer
   x = 7,551.76