Finding the Third Proportional to 4,781.25 and 10,294.88

Step by Step Solution

1. Step 1: Write the proportion equation
   4,781.25 : 10,294.88 = 10,294.88 : x
2. Step 2: Convert to fraction form
   4,781.25/10,294.88 = 10,294.88/x
3. Step 3: Cross multiply
   4,781.25x = 10,294.88 × 10,294.88
4. Step 4: Simplify right side
   4,781.25x = 105,984,451.27
5. Step 5: Solve for x
   x = 105,984,451.27/4,781.25
6. Step 6: Final answer
   x = 22,166.68