Finding the Third Proportional to 2,260 and 4,804.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,260 : 4,804.50 = 4,804.50 : x
2. Step 2: Convert to fraction form
   2,260/4,804.50 = 4,804.50/x
3. Step 3: Cross multiply
   2,260x = 4,804.50 × 4,804.50
4. Step 4: Simplify right side
   2,260x = 23,083,220.25
5. Step 5: Solve for x
   x = 23,083,220.25/2,260
6. Step 6: Final answer
   x = 10,213.81