Finding the Third Proportional to 13,036 and 30,743

Step by Step Solution

1. Step 1: Write the proportion equation
   13,036 : 30,743 = 30,743 : x
2. Step 2: Convert to fraction form
   13,036/30,743 = 30,743/x
3. Step 3: Cross multiply
   13,036x = 30,743 × 30,743
4. Step 4: Simplify right side
   13,036x = 945,132,049
5. Step 5: Solve for x
   x = 945,132,049/13,036
6. Step 6: Final answer
   x = 72,501.69