Finding the Third Proportional to 39,760 and 55,723

Step by Step Solution

1. Step 1: Write the proportion equation
   39,760 : 55,723 = 55,723 : x
2. Step 2: Convert to fraction form
   39,760/55,723 = 55,723/x
3. Step 3: Cross multiply
   39,760x = 55,723 × 55,723
4. Step 4: Simplify right side
   39,760x = 3,105,052,729
5. Step 5: Solve for x
   x = 3,105,052,729/39,760
6. Step 6: Final answer
   x = 78,094.89