Finding the Third Proportional to 4,649.63 and 10,857.38

Step by Step Solution

1. Step 1: Write the proportion equation
   4,649.63 : 10,857.38 = 10,857.38 : x
2. Step 2: Convert to fraction form
   4,649.63/10,857.38 = 10,857.38/x
3. Step 3: Cross multiply
   4,649.63x = 10,857.38 × 10,857.38
4. Step 4: Simplify right side
   4,649.63x = 117,882,591.89
5. Step 5: Solve for x
   x = 117,882,591.89/4,649.63
6. Step 6: Final answer
   x = 25,353.14