Finding the Third Proportional to 2,468.25 and 5,826.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,468.25 : 5,826.38 = 5,826.38 : x
2. Step 2: Convert to fraction form
   2,468.25/5,826.38 = 5,826.38/x
3. Step 3: Cross multiply
   2,468.25x = 5,826.38 × 5,826.38
4. Step 4: Simplify right side
   2,468.25x = 33,946,645.64
5. Step 5: Solve for x
   x = 33,946,645.64/2,468.25
6. Step 6: Final answer
   x = 13,753.33