Finding the Third Proportional to 30,729 and 41,706

Step by Step Solution

1. Step 1: Write the proportion equation
   30,729 : 41,706 = 41,706 : x
2. Step 2: Convert to fraction form
   30,729/41,706 = 41,706/x
3. Step 3: Cross multiply
   30,729x = 41,706 × 41,706
4. Step 4: Simplify right side
   30,729x = 1,739,390,436
5. Step 5: Solve for x
   x = 1,739,390,436/30,729
6. Step 6: Final answer
   x = 56,604.20