Finding the Third Proportional to 1,638.56 and 2,290.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,638.56 : 2,290.78 = 2,290.78 : x
2. Step 2: Convert to fraction form
   1,638.56/2,290.78 = 2,290.78/x
3. Step 3: Cross multiply
   1,638.56x = 2,290.78 × 2,290.78
4. Step 4: Simplify right side
   1,638.56x = 5,247,678.74
5. Step 5: Solve for x
   x = 5,247,678.74/1,638.56
6. Step 6: Final answer
   x = 3,202.61