Finding the Third Proportional to 10,768 and 23,808

Step by Step Solution

1. Step 1: Write the proportion equation
   10,768 : 23,808 = 23,808 : x
2. Step 2: Convert to fraction form
   10,768/23,808 = 23,808/x
3. Step 3: Cross multiply
   10,768x = 23,808 × 23,808
4. Step 4: Simplify right side
   10,768x = 566,820,864
5. Step 5: Solve for x
   x = 566,820,864/10,768
6. Step 6: Final answer
   x = 52,639.38