Finding the Third Proportional to 2,363.69 and 5,141.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,363.69 : 5,141.88 = 5,141.88 : x
2. Step 2: Convert to fraction form
   2,363.69/5,141.88 = 5,141.88/x
3. Step 3: Cross multiply
   2,363.69x = 5,141.88 × 5,141.88
4. Step 4: Simplify right side
   2,363.69x = 26,438,878.52
5. Step 5: Solve for x
   x = 26,438,878.52/2,363.69
6. Step 6: Final answer
   x = 11,185.44