Finding the Third Proportional to 13,003 and 30,683

Step by Step Solution

1. Step 1: Write the proportion equation
   13,003 : 30,683 = 30,683 : x
2. Step 2: Convert to fraction form
   13,003/30,683 = 30,683/x
3. Step 3: Cross multiply
   13,003x = 30,683 × 30,683
4. Step 4: Simplify right side
   13,003x = 941,446,489
5. Step 5: Solve for x
   x = 941,446,489/13,003
6. Step 6: Final answer
   x = 72,402.25