Finding the Third Proportional to 27,277 and 59,616

Step by Step Solution

1. Step 1: Write the proportion equation
   27,277 : 59,616 = 59,616 : x
2. Step 2: Convert to fraction form
   27,277/59,616 = 59,616/x
3. Step 3: Cross multiply
   27,277x = 59,616 × 59,616
4. Step 4: Simplify right side
   27,277x = 3,554,067,456
5. Step 5: Solve for x
   x = 3,554,067,456/27,277
6. Step 6: Final answer
   x = 130,295.39