Finding the Third Proportional to 10,758 and 16,454

Step by Step Solution

1. Step 1: Write the proportion equation
   10,758 : 16,454 = 16,454 : x
2. Step 2: Convert to fraction form
   10,758/16,454 = 16,454/x
3. Step 3: Cross multiply
   10,758x = 16,454 × 16,454
4. Step 4: Simplify right side
   10,758x = 270,734,116
5. Step 5: Solve for x
   x = 270,734,116/10,758
6. Step 6: Final answer
   x = 25,165.84