Finding the Third Proportional to 10,736 and 16,758

Step by Step Solution

1. Step 1: Write the proportion equation
   10,736 : 16,758 = 16,758 : x
2. Step 2: Convert to fraction form
   10,736/16,758 = 16,758/x
3. Step 3: Cross multiply
   10,736x = 16,758 × 16,758
4. Step 4: Simplify right side
   10,736x = 280,830,564
5. Step 5: Solve for x
   x = 280,830,564/10,736
6. Step 6: Final answer
   x = 26,157.84