Finding the Third Proportional to 2,496.38 and 5,402.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,496.38 : 5,402.25 = 5,402.25 : x
2. Step 2: Convert to fraction form
   2,496.38/5,402.25 = 5,402.25/x
3. Step 3: Cross multiply
   2,496.38x = 5,402.25 × 5,402.25
4. Step 4: Simplify right side
   2,496.38x = 29,184,305.06
5. Step 5: Solve for x
   x = 29,184,305.06/2,496.38
6. Step 6: Final answer
   x = 11,690.67