Finding the Third Proportional to 5,138.44 and 10,641.38

Step by Step Solution

1. Step 1: Write the proportion equation
   5,138.44 : 10,641.38 = 10,641.38 : x
2. Step 2: Convert to fraction form
   5,138.44/10,641.38 = 10,641.38/x
3. Step 3: Cross multiply
   5,138.44x = 10,641.38 × 10,641.38
4. Step 4: Simplify right side
   5,138.44x = 113,238,861.89
5. Step 5: Solve for x
   x = 113,238,861.89/5,138.44
6. Step 6: Final answer
   x = 22,037.61