Finding the Third Proportional to 10,419.50 and 22,815.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,419.50 : 22,815.38 = 22,815.38 : x
2. Step 2: Convert to fraction form
   10,419.50/22,815.38 = 22,815.38/x
3. Step 3: Cross multiply
   10,419.50x = 22,815.38 × 22,815.38
4. Step 4: Simplify right side
   10,419.50x = 520,541,336.39
5. Step 5: Solve for x
   x = 520,541,336.39/10,419.50
6. Step 6: Final answer
   x = 49,958.38