Finding the Third Proportional to 1,530.56 and 2,019.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,530.56 : 2,019.94 = 2,019.94 : x
2. Step 2: Convert to fraction form
   1,530.56/2,019.94 = 2,019.94/x
3. Step 3: Cross multiply
   1,530.56x = 2,019.94 × 2,019.94
4. Step 4: Simplify right side
   1,530.56x = 4,080,147.50
5. Step 5: Solve for x
   x = 4,080,147.50/1,530.56
6. Step 6: Final answer
   x = 2,665.78