Finding the Third Proportional to 10,919.75 and 16,362.56

Step by Step Solution

1. Step 1: Write the proportion equation
   10,919.75 : 16,362.56 = 16,362.56 : x
2. Step 2: Convert to fraction form
   10,919.75/16,362.56 = 16,362.56/x
3. Step 3: Cross multiply
   10,919.75x = 16,362.56 × 16,362.56
4. Step 4: Simplify right side
   10,919.75x = 267,733,451.57
5. Step 5: Solve for x
   x = 267,733,451.57/10,919.75
6. Step 6: Final answer
   x = 24,518.28