Finding the Third Proportional to 14,346 and 30,768

Step by Step Solution

1. Step 1: Write the proportion equation
   14,346 : 30,768 = 30,768 : x
2. Step 2: Convert to fraction form
   14,346/30,768 = 30,768/x
3. Step 3: Cross multiply
   14,346x = 30,768 × 30,768
4. Step 4: Simplify right side
   14,346x = 946,669,824
5. Step 5: Solve for x
   x = 946,669,824/14,346
6. Step 6: Final answer
   x = 65,988.42