Finding the Third Proportional to 39,736 and 55,686

Step by Step Solution

1. Step 1: Write the proportion equation
   39,736 : 55,686 = 55,686 : x
2. Step 2: Convert to fraction form
   39,736/55,686 = 55,686/x
3. Step 3: Cross multiply
   39,736x = 55,686 × 55,686
4. Step 4: Simplify right side
   39,736x = 3,100,930,596
5. Step 5: Solve for x
   x = 3,100,930,596/39,736
6. Step 6: Final answer
   x = 78,038.32