Finding the Third Proportional to 27,736 and 56,768

Step by Step Solution

1. Step 1: Write the proportion equation
   27,736 : 56,768 = 56,768 : x
2. Step 2: Convert to fraction form
   27,736/56,768 = 56,768/x
3. Step 3: Cross multiply
   27,736x = 56,768 × 56,768
4. Step 4: Simplify right side
   27,736x = 3,222,605,824
5. Step 5: Solve for x
   x = 3,222,605,824/27,736
6. Step 6: Final answer
   x = 116,188.56