Finding the Third Proportional to 41,314 and 55,683

Step by Step Solution

1. Step 1: Write the proportion equation
   41,314 : 55,683 = 55,683 : x
2. Step 2: Convert to fraction form
   41,314/55,683 = 55,683/x
3. Step 3: Cross multiply
   41,314x = 55,683 × 55,683
4. Step 4: Simplify right side
   41,314x = 3,100,596,489
5. Step 5: Solve for x
   x = 3,100,596,489/41,314
6. Step 6: Final answer
   x = 75,049.54