Finding the Third Proportional to 13,768 and 30,680

Step by Step Solution

1. Step 1: Write the proportion equation
   13,768 : 30,680 = 30,680 : x
2. Step 2: Convert to fraction form
   13,768/30,680 = 30,680/x
3. Step 3: Cross multiply
   13,768x = 30,680 × 30,680
4. Step 4: Simplify right side
   13,768x = 941,262,400
5. Step 5: Solve for x
   x = 941,262,400/13,768
6. Step 6: Final answer
   x = 68,365.95