Finding the Third Proportional to 27,824 and 60,760

Step by Step Solution

1. Step 1: Write the proportion equation
   27,824 : 60,760 = 60,760 : x
2. Step 2: Convert to fraction form
   27,824/60,760 = 60,760/x
3. Step 3: Cross multiply
   27,824x = 60,760 × 60,760
4. Step 4: Simplify right side
   27,824x = 3,691,777,600
5. Step 5: Solve for x
   x = 3,691,777,600/27,824
6. Step 6: Final answer
   x = 132,683.21