Finding the Third Proportional to 10,154.74 and 16,815.41

Step by Step Solution

1. Step 1: Write the proportion equation
   10,154.74 : 16,815.41 = 16,815.41 : x
2. Step 2: Convert to fraction form
   10,154.74/16,815.41 = 16,815.41/x
3. Step 3: Cross multiply
   10,154.74x = 16,815.41 × 16,815.41
4. Step 4: Simplify right side
   10,154.74x = 282,758,018.72
5. Step 5: Solve for x
   x = 282,758,018.72/10,154.74
6. Step 6: Final answer
   x = 27,844.92