Finding the Third Proportional to 27,544 and 58,256

Step by Step Solution

1. Step 1: Write the proportion equation
   27,544 : 58,256 = 58,256 : x
2. Step 2: Convert to fraction form
   27,544/58,256 = 58,256/x
3. Step 3: Cross multiply
   27,544x = 58,256 × 58,256
4. Step 4: Simplify right side
   27,544x = 3,393,761,536
5. Step 5: Solve for x
   x = 3,393,761,536/27,544
6. Step 6: Final answer
   x = 123,212.37