Finding the Third Proportional to 10,198.41 and 15,354.56

Step by Step Solution

1. Step 1: Write the proportion equation
   10,198.41 : 15,354.56 = 15,354.56 : x
2. Step 2: Convert to fraction form
   10,198.41/15,354.56 = 15,354.56/x
3. Step 3: Cross multiply
   10,198.41x = 15,354.56 × 15,354.56
4. Step 4: Simplify right side
   10,198.41x = 235,762,589.57
5. Step 5: Solve for x
   x = 235,762,589.57/10,198.41
6. Step 6: Final answer
   x = 23,117.59