Finding the Third Proportional to 10,806.75 and 16,314.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,806.75 : 16,314.75 = 16,314.75 : x
2. Step 2: Convert to fraction form
   10,806.75/16,314.75 = 16,314.75/x
3. Step 3: Cross multiply
   10,806.75x = 16,314.75 × 16,314.75
4. Step 4: Simplify right side
   10,806.75x = 266,171,067.56
5. Step 5: Solve for x
   x = 266,171,067.56/10,806.75
6. Step 6: Final answer
   x = 24,630.08