Finding the Third Proportional to 2,350.13 and 4,978.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,350.13 : 4,978.69 = 4,978.69 : x
2. Step 2: Convert to fraction form
   2,350.13/4,978.69 = 4,978.69/x
3. Step 3: Cross multiply
   2,350.13x = 4,978.69 × 4,978.69
4. Step 4: Simplify right side
   2,350.13x = 24,787,329.22
5. Step 5: Solve for x
   x = 24,787,329.22/2,350.13
6. Step 6: Final answer
   x = 10,547.24