Finding the Third Proportional to 1,089.70 and 1,619.37

Step by Step Solution

1. Step 1: Write the proportion equation
   1,089.70 : 1,619.37 = 1,619.37 : x
2. Step 2: Convert to fraction form
   1,089.70/1,619.37 = 1,619.37/x
3. Step 3: Cross multiply
   1,089.70x = 1,619.37 × 1,619.37
4. Step 4: Simplify right side
   1,089.70x = 2,622,350.09
5. Step 5: Solve for x
   x = 2,622,350.09/1,089.70
6. Step 6: Final answer
   x = 2,406.48