Finding the Third Proportional to 1,569.25 and 3,482.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,569.25 : 3,482.69 = 3,482.69 : x
2. Step 2: Convert to fraction form
   1,569.25/3,482.69 = 3,482.69/x
3. Step 3: Cross multiply
   1,569.25x = 3,482.69 × 3,482.69
4. Step 4: Simplify right side
   1,569.25x = 12,129,112.22
5. Step 5: Solve for x
   x = 12,129,112.22/1,569.25
6. Step 6: Final answer
   x = 7,729.24