Finding the Third Proportional to 11,416.50 and 16,778.25

Step by Step Solution

1. Step 1: Write the proportion equation
   11,416.50 : 16,778.25 = 16,778.25 : x
2. Step 2: Convert to fraction form
   11,416.50/16,778.25 = 16,778.25/x
3. Step 3: Cross multiply
   11,416.50x = 16,778.25 × 16,778.25
4. Step 4: Simplify right side
   11,416.50x = 281,509,673.06
5. Step 5: Solve for x
   x = 281,509,673.06/11,416.50
6. Step 6: Final answer
   x = 24,658.14