Finding the Third Proportional to 27,840 and 59,728

Step by Step Solution

1. Step 1: Write the proportion equation
   27,840 : 59,728 = 59,728 : x
2. Step 2: Convert to fraction form
   27,840/59,728 = 59,728/x
3. Step 3: Cross multiply
   27,840x = 59,728 × 59,728
4. Step 4: Simplify right side
   27,840x = 3,567,433,984
5. Step 5: Solve for x
   x = 3,567,433,984/27,840
6. Step 6: Final answer
   x = 128,140.59