Finding the Third Proportional to 4,678.38 and 10,221.82

Step by Step Solution

1. Step 1: Write the proportion equation
   4,678.38 : 10,221.82 = 10,221.82 : x
2. Step 2: Convert to fraction form
   4,678.38/10,221.82 = 10,221.82/x
3. Step 3: Cross multiply
   4,678.38x = 10,221.82 × 10,221.82
4. Step 4: Simplify right side
   4,678.38x = 104,485,610.50
5. Step 5: Solve for x
   x = 104,485,610.50/4,678.38
6. Step 6: Final answer
   x = 22,333.70