Finding the Third Proportional to 4,878.50 and 10,578.25

Step by Step Solution

1. Step 1: Write the proportion equation
   4,878.50 : 10,578.25 = 10,578.25 : x
2. Step 2: Convert to fraction form
   4,878.50/10,578.25 = 10,578.25/x
3. Step 3: Cross multiply
   4,878.50x = 10,578.25 × 10,578.25
4. Step 4: Simplify right side
   4,878.50x = 111,899,373.06
5. Step 5: Solve for x
   x = 111,899,373.06/4,878.50
6. Step 6: Final answer
   x = 22,937.25