Finding the Third Proportional to 2,269.50 and 3,504.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,269.50 : 3,504.75 = 3,504.75 : x
2. Step 2: Convert to fraction form
   2,269.50/3,504.75 = 3,504.75/x
3. Step 3: Cross multiply
   2,269.50x = 3,504.75 × 3,504.75
4. Step 4: Simplify right side
   2,269.50x = 12,283,272.56
5. Step 5: Solve for x
   x = 12,283,272.56/2,269.50
6. Step 6: Final answer
   x = 5,412.33