Finding the Third Proportional to 10,768 and 17,146

Step by Step Solution

1. Step 1: Write the proportion equation
   10,768 : 17,146 = 17,146 : x
2. Step 2: Convert to fraction form
   10,768/17,146 = 17,146/x
3. Step 3: Cross multiply
   10,768x = 17,146 × 17,146
4. Step 4: Simplify right side
   10,768x = 293,985,316
5. Step 5: Solve for x
   x = 293,985,316/10,768
6. Step 6: Final answer
   x = 27,301.76