Finding the Third Proportional to 14,538 and 30,772

Step by Step Solution

1. Step 1: Write the proportion equation
   14,538 : 30,772 = 30,772 : x
2. Step 2: Convert to fraction form
   14,538/30,772 = 30,772/x
3. Step 3: Cross multiply
   14,538x = 30,772 × 30,772
4. Step 4: Simplify right side
   14,538x = 946,915,984
5. Step 5: Solve for x
   x = 946,915,984/14,538
6. Step 6: Final answer
   x = 65,133.86