Finding the Third Proportional to 1,489.96 and 2,045.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,489.96 : 2,045.09 = 2,045.09 : x
2. Step 2: Convert to fraction form
   1,489.96/2,045.09 = 2,045.09/x
3. Step 3: Cross multiply
   1,489.96x = 2,045.09 × 2,045.09
4. Step 4: Simplify right side
   1,489.96x = 4,182,400.46
5. Step 5: Solve for x
   x = 4,182,400.46/1,489.96
6. Step 6: Final answer
   x = 2,807.06