Finding the Third Proportional to 2,262.50 and 3,267.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,262.50 : 3,267.25 = 3,267.25 : x
2. Step 2: Convert to fraction form
   2,262.50/3,267.25 = 3,267.25/x
3. Step 3: Cross multiply
   2,262.50x = 3,267.25 × 3,267.25
4. Step 4: Simplify right side
   2,262.50x = 10,674,922.56
5. Step 5: Solve for x
   x = 10,674,922.56/2,262.50
6. Step 6: Final answer
   x = 4,718.20