Finding the Third Proportional to 10,758 and 16,906

Step by Step Solution

1. Step 1: Write the proportion equation
   10,758 : 16,906 = 16,906 : x
2. Step 2: Convert to fraction form
   10,758/16,906 = 16,906/x
3. Step 3: Cross multiply
   10,758x = 16,906 × 16,906
4. Step 4: Simplify right side
   10,758x = 285,812,836
5. Step 5: Solve for x
   x = 285,812,836/10,758
6. Step 6: Final answer
   x = 26,567.47