Finding the Third Proportional to 2,299.50 and 4,980.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,299.50 : 4,980.38 = 4,980.38 : x
2. Step 2: Convert to fraction form
   2,299.50/4,980.38 = 4,980.38/x
3. Step 3: Cross multiply
   2,299.50x = 4,980.38 × 4,980.38
4. Step 4: Simplify right side
   2,299.50x = 24,804,135.14
5. Step 5: Solve for x
   x = 24,804,135.14/2,299.50
6. Step 6: Final answer
   x = 10,786.75