Finding the Third Proportional to 3,575.25 and 5,269.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,575.25 : 5,269.50 = 5,269.50 : x
2. Step 2: Convert to fraction form
   3,575.25/5,269.50 = 5,269.50/x
3. Step 3: Cross multiply
   3,575.25x = 5,269.50 × 5,269.50
4. Step 4: Simplify right side
   3,575.25x = 27,767,630.25
5. Step 5: Solve for x
   x = 27,767,630.25/3,575.25
6. Step 6: Final answer
   x = 7,766.63