Finding the Third Proportional to 4,795.25 and 10,256.75

Step by Step Solution

1. Step 1: Write the proportion equation
   4,795.25 : 10,256.75 = 10,256.75 : x
2. Step 2: Convert to fraction form
   4,795.25/10,256.75 = 10,256.75/x
3. Step 3: Cross multiply
   4,795.25x = 10,256.75 × 10,256.75
4. Step 4: Simplify right side
   4,795.25x = 105,200,920.56
5. Step 5: Solve for x
   x = 105,200,920.56/4,795.25
6. Step 6: Final answer
   x = 21,938.57