Finding the Third Proportional to 2,426 and 5,198.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,426 : 5,198.25 = 5,198.25 : x
2. Step 2: Convert to fraction form
   2,426/5,198.25 = 5,198.25/x
3. Step 3: Cross multiply
   2,426x = 5,198.25 × 5,198.25
4. Step 4: Simplify right side
   2,426x = 27,021,803.06
5. Step 5: Solve for x
   x = 27,021,803.06/2,426
6. Step 6: Final answer
   x = 11,138.42