Finding the Third Proportional to 14,491 and 30,538

Step by Step Solution

1. Step 1: Write the proportion equation
   14,491 : 30,538 = 30,538 : x
2. Step 2: Convert to fraction form
   14,491/30,538 = 30,538/x
3. Step 3: Cross multiply
   14,491x = 30,538 × 30,538
4. Step 4: Simplify right side
   14,491x = 932,569,444
5. Step 5: Solve for x
   x = 932,569,444/14,491
6. Step 6: Final answer
   x = 64,355.08