Finding the Third Proportional to 2,262 and 3,229.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,262 : 3,229.50 = 3,229.50 : x
2. Step 2: Convert to fraction form
   2,262/3,229.50 = 3,229.50/x
3. Step 3: Cross multiply
   2,262x = 3,229.50 × 3,229.50
4. Step 4: Simplify right side
   2,262x = 10,429,670.25
5. Step 5: Solve for x
   x = 10,429,670.25/2,262
6. Step 6: Final answer
   x = 4,610.82