Finding the Third Proportional to 13,138 and 30,731

Step by Step Solution

1. Step 1: Write the proportion equation
   13,138 : 30,731 = 30,731 : x
2. Step 2: Convert to fraction form
   13,138/30,731 = 30,731/x
3. Step 3: Cross multiply
   13,138x = 30,731 × 30,731
4. Step 4: Simplify right side
   13,138x = 944,394,361
5. Step 5: Solve for x
   x = 944,394,361/13,138
6. Step 6: Final answer
   x = 71,882.66