Finding the Third Proportional to 10,746 and 16,074

Step by Step Solution

1. Step 1: Write the proportion equation
   10,746 : 16,074 = 16,074 : x
2. Step 2: Convert to fraction form
   10,746/16,074 = 16,074/x
3. Step 3: Cross multiply
   10,746x = 16,074 × 16,074
4. Step 4: Simplify right side
   10,746x = 258,373,476
5. Step 5: Solve for x
   x = 258,373,476/10,746
6. Step 6: Final answer
   x = 24,043.69