Finding the Third Proportional to 4,824 and 10,478.25

Step by Step Solution

1. Step 1: Write the proportion equation
   4,824 : 10,478.25 = 10,478.25 : x
2. Step 2: Convert to fraction form
   4,824/10,478.25 = 10,478.25/x
3. Step 3: Cross multiply
   4,824x = 10,478.25 × 10,478.25
4. Step 4: Simplify right side
   4,824x = 109,793,723.06
5. Step 5: Solve for x
   x = 109,793,723.06/4,824
6. Step 6: Final answer
   x = 22,759.89