Finding the Third Proportional to 10,768 and 16,460

Step by Step Solution

1. Step 1: Write the proportion equation
   10,768 : 16,460 = 16,460 : x
2. Step 2: Convert to fraction form
   10,768/16,460 = 16,460/x
3. Step 3: Cross multiply
   10,768x = 16,460 × 16,460
4. Step 4: Simplify right side
   10,768x = 270,931,600
5. Step 5: Solve for x
   x = 270,931,600/10,768
6. Step 6: Final answer
   x = 25,160.81