Finding the Third Proportional to 2,262.50 and 4,950

Step by Step Solution

1. Step 1: Write the proportion equation
   2,262.50 : 4,950 = 4,950 : x
2. Step 2: Convert to fraction form
   2,262.50/4,950 = 4,950/x
3. Step 3: Cross multiply
   2,262.50x = 4,950 × 4,950
4. Step 4: Simplify right side
   2,262.50x = 24,502,500
5. Step 5: Solve for x
   x = 24,502,500/2,262.50
6. Step 6: Final answer
   x = 10,829.83