Finding the Third Proportional to 2,242 and 4,868.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,242 : 4,868.50 = 4,868.50 : x
2. Step 2: Convert to fraction form
   2,242/4,868.50 = 4,868.50/x
3. Step 3: Cross multiply
   2,242x = 4,868.50 × 4,868.50
4. Step 4: Simplify right side
   2,242x = 23,702,292.25
5. Step 5: Solve for x
   x = 23,702,292.25/2,242
6. Step 6: Final answer
   x = 10,571.94