Finding the Third Proportional to 3,262.50 and 4,969.69

Step by Step Solution

1. Step 1: Write the proportion equation
   3,262.50 : 4,969.69 = 4,969.69 : x
2. Step 2: Convert to fraction form
   3,262.50/4,969.69 = 4,969.69/x
3. Step 3: Cross multiply
   3,262.50x = 4,969.69 × 4,969.69
4. Step 4: Simplify right side
   3,262.50x = 24,697,793.85
5. Step 5: Solve for x
   x = 24,697,793.85/3,262.50
6. Step 6: Final answer
   x = 7,570.21