Finding the Third Proportional to 1,678.22 and 3,525.33

Step by Step Solution

1. Step 1: Write the proportion equation
   1,678.22 : 3,525.33 = 3,525.33 : x
2. Step 2: Convert to fraction form
   1,678.22/3,525.33 = 3,525.33/x
3. Step 3: Cross multiply
   1,678.22x = 3,525.33 × 3,525.33
4. Step 4: Simplify right side
   1,678.22x = 12,427,938.39
5. Step 5: Solve for x
   x = 12,427,938.39/1,678.22
6. Step 6: Final answer
   x = 7,405.43