Finding the Third Proportional to 10,578.94 and 22,980.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,578.94 : 22,980.38 = 22,980.38 : x
2. Step 2: Convert to fraction form
   10,578.94/22,980.38 = 22,980.38/x
3. Step 3: Cross multiply
   10,578.94x = 22,980.38 × 22,980.38
4. Step 4: Simplify right side
   10,578.94x = 528,097,635.14
5. Step 5: Solve for x
   x = 528,097,635.14/10,578.94
6. Step 6: Final answer
   x = 49,919.72