Finding the Third Proportional to 10,726.38 and 22,198.64

Step by Step Solution

1. Step 1: Write the proportion equation
   10,726.38 : 22,198.64 = 22,198.64 : x
2. Step 2: Convert to fraction form
   10,726.38/22,198.64 = 22,198.64/x
3. Step 3: Cross multiply
   10,726.38x = 22,198.64 × 22,198.64
4. Step 4: Simplify right side
   10,726.38x = 492,779,645.60
5. Step 5: Solve for x
   x = 492,779,645.60/10,726.38
6. Step 6: Final answer
   x = 45,940.90