Finding the Third Proportional to 27,384 and 55,768

Step by Step Solution

1. Step 1: Write the proportion equation
   27,384 : 55,768 = 55,768 : x
2. Step 2: Convert to fraction form
   27,384/55,768 = 55,768/x
3. Step 3: Cross multiply
   27,384x = 55,768 × 55,768
4. Step 4: Simplify right side
   27,384x = 3,110,069,824
5. Step 5: Solve for x
   x = 3,110,069,824/27,384
6. Step 6: Final answer
   x = 113,572.52