Finding the Third Proportional to 4,882.78 and 10,684.41

Step by Step Solution

1. Step 1: Write the proportion equation
   4,882.78 : 10,684.41 = 10,684.41 : x
2. Step 2: Convert to fraction form
   4,882.78/10,684.41 = 10,684.41/x
3. Step 3: Cross multiply
   4,882.78x = 10,684.41 × 10,684.41
4. Step 4: Simplify right side
   4,882.78x = 114,156,536.92
5. Step 5: Solve for x
   x = 114,156,536.92/4,882.78
6. Step 6: Final answer
   x = 23,379.41