Finding the Third Proportional to 27,756 and 56,540

Step by Step Solution

1. Step 1: Write the proportion equation
   27,756 : 56,540 = 56,540 : x
2. Step 2: Convert to fraction form
   27,756/56,540 = 56,540/x
3. Step 3: Cross multiply
   27,756x = 56,540 × 56,540
4. Step 4: Simplify right side
   27,756x = 3,196,771,600
5. Step 5: Solve for x
   x = 3,196,771,600/27,756
6. Step 6: Final answer
   x = 115,174.07