Finding the Third Proportional to 10,578.25 and 22,977.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,578.25 : 22,977.50 = 22,977.50 : x
2. Step 2: Convert to fraction form
   10,578.25/22,977.50 = 22,977.50/x
3. Step 3: Cross multiply
   10,578.25x = 22,977.50 × 22,977.50
4. Step 4: Simplify right side
   10,578.25x = 527,965,506.25
5. Step 5: Solve for x
   x = 527,965,506.25/10,578.25
6. Step 6: Final answer
   x = 49,910.48