Finding the Third Proportional to 5,436.38 and 11,854.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,436.38 : 11,854.50 = 11,854.50 : x
2. Step 2: Convert to fraction form
   5,436.38/11,854.50 = 11,854.50/x
3. Step 3: Cross multiply
   5,436.38x = 11,854.50 × 11,854.50
4. Step 4: Simplify right side
   5,436.38x = 140,529,170.25
5. Step 5: Solve for x
   x = 140,529,170.25/5,436.38
6. Step 6: Final answer
   x = 25,849.79