Finding the Third Proportional to 1,604.75 and 3,524.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,604.75 : 3,524.50 = 3,524.50 : x
2. Step 2: Convert to fraction form
   1,604.75/3,524.50 = 3,524.50/x
3. Step 3: Cross multiply
   1,604.75x = 3,524.50 × 3,524.50
4. Step 4: Simplify right side
   1,604.75x = 12,422,100.25
5. Step 5: Solve for x
   x = 12,422,100.25/1,604.75
6. Step 6: Final answer
   x = 7,740.83