Finding the Third Proportional to 11,724.75 and 16,949.25

Step by Step Solution

1. Step 1: Write the proportion equation
   11,724.75 : 16,949.25 = 16,949.25 : x
2. Step 2: Convert to fraction form
   11,724.75/16,949.25 = 16,949.25/x
3. Step 3: Cross multiply
   11,724.75x = 16,949.25 × 16,949.25
4. Step 4: Simplify right side
   11,724.75x = 287,277,075.56
5. Step 5: Solve for x
   x = 287,277,075.56/11,724.75
6. Step 6: Final answer
   x = 24,501.77