Finding the Third Proportional to 27,936 and 59,736

Step by Step Solution

1. Step 1: Write the proportion equation
   27,936 : 59,736 = 59,736 : x
2. Step 2: Convert to fraction form
   27,936/59,736 = 59,736/x
3. Step 3: Cross multiply
   27,936x = 59,736 × 59,736
4. Step 4: Simplify right side
   27,936x = 3,568,389,696
5. Step 5: Solve for x
   x = 3,568,389,696/27,936
6. Step 6: Final answer
   x = 127,734.45