Finding the Third Proportional to 1,003.78 and 1,489.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,003.78 : 1,489.78 = 1,489.78 : x
2. Step 2: Convert to fraction form
   1,003.78/1,489.78 = 1,489.78/x
3. Step 3: Cross multiply
   1,003.78x = 1,489.78 × 1,489.78
4. Step 4: Simplify right side
   1,003.78x = 2,219,448.17
5. Step 5: Solve for x
   x = 2,219,448.17/1,003.78
6. Step 6: Final answer
   x = 2,211.09