Finding the Third Proportional to 648 and 1,565.25

Step by Step Solution

1. Step 1: Write the proportion equation
   648 : 1,565.25 = 1,565.25 : x
2. Step 2: Convert to fraction form
   648/1,565.25 = 1,565.25/x
3. Step 3: Cross multiply
   648x = 1,565.25 × 1,565.25
4. Step 4: Simplify right side
   648x = 2,450,007.56
5. Step 5: Solve for x
   x = 2,450,007.56/648
6. Step 6: Final answer
   x = 3,780.88