Finding the Third Proportional to 4,837.22 and 10,256.63

Step by Step Solution

1. Step 1: Write the proportion equation
   4,837.22 : 10,256.63 = 10,256.63 : x
2. Step 2: Convert to fraction form
   4,837.22/10,256.63 = 10,256.63/x
3. Step 3: Cross multiply
   4,837.22x = 10,256.63 × 10,256.63
4. Step 4: Simplify right side
   4,837.22x = 105,198,356.39
5. Step 5: Solve for x
   x = 105,198,356.39/4,837.22
6. Step 6: Final answer
   x = 21,747.69