Finding the Third Proportional to 10,768 and 12,712

Step by Step Solution

1. Step 1: Write the proportion equation
   10,768 : 12,712 = 12,712 : x
2. Step 2: Convert to fraction form
   10,768/12,712 = 12,712/x
3. Step 3: Cross multiply
   10,768x = 12,712 × 12,712
4. Step 4: Simplify right side
   10,768x = 161,594,944
5. Step 5: Solve for x
   x = 161,594,944/10,768
6. Step 6: Final answer
   x = 15,006.96