Finding the Third Proportional to 10,768 and 23,179

Step by Step Solution

1. Step 1: Write the proportion equation
   10,768 : 23,179 = 23,179 : x
2. Step 2: Convert to fraction form
   10,768/23,179 = 23,179/x
3. Step 3: Cross multiply
   10,768x = 23,179 × 23,179
4. Step 4: Simplify right side
   10,768x = 537,266,041
5. Step 5: Solve for x
   x = 537,266,041/10,768
6. Step 6: Final answer
   x = 49,894.69