Finding the Third Proportional to 5,141.75 and 10,780.75

Step by Step Solution

1. Step 1: Write the proportion equation
   5,141.75 : 10,780.75 = 10,780.75 : x
2. Step 2: Convert to fraction form
   5,141.75/10,780.75 = 10,780.75/x
3. Step 3: Cross multiply
   5,141.75x = 10,780.75 × 10,780.75
4. Step 4: Simplify right side
   5,141.75x = 116,224,570.56
5. Step 5: Solve for x
   x = 116,224,570.56/5,141.75
6. Step 6: Final answer
   x = 22,604.09