Finding the Third Proportional to 10,748.75 and 16,285.41

Step by Step Solution

1. Step 1: Write the proportion equation
   10,748.75 : 16,285.41 = 16,285.41 : x
2. Step 2: Convert to fraction form
   10,748.75/16,285.41 = 16,285.41/x
3. Step 3: Cross multiply
   10,748.75x = 16,285.41 × 16,285.41
4. Step 4: Simplify right side
   10,748.75x = 265,214,456.73
5. Step 5: Solve for x
   x = 265,214,456.73/10,748.75
6. Step 6: Final answer
   x = 24,673.98