Finding the Third Proportional to 10,742 and 16,726

Step by Step Solution

1. Step 1: Write the proportion equation
   10,742 : 16,726 = 16,726 : x
2. Step 2: Convert to fraction form
   10,742/16,726 = 16,726/x
3. Step 3: Cross multiply
   10,742x = 16,726 × 16,726
4. Step 4: Simplify right side
   10,742x = 279,759,076
5. Step 5: Solve for x
   x = 279,759,076/10,742
6. Step 6: Final answer
   x = 26,043.48