Finding the Third Proportional to 27,738 and 57,741

Step by Step Solution

1. Step 1: Write the proportion equation
   27,738 : 57,741 = 57,741 : x
2. Step 2: Convert to fraction form
   27,738/57,741 = 57,741/x
3. Step 3: Cross multiply
   27,738x = 57,741 × 57,741
4. Step 4: Simplify right side
   27,738x = 3,334,023,081
5. Step 5: Solve for x
   x = 3,334,023,081/27,738
6. Step 6: Final answer
   x = 120,196.95