Finding the Third Proportional to 13,758 and 30,666

Step by Step Solution

1. Step 1: Write the proportion equation
   13,758 : 30,666 = 30,666 : x
2. Step 2: Convert to fraction form
   13,758/30,666 = 30,666/x
3. Step 3: Cross multiply
   13,758x = 30,666 × 30,666
4. Step 4: Simplify right side
   13,758x = 940,403,556
5. Step 5: Solve for x
   x = 940,403,556/13,758
6. Step 6: Final answer
   x = 68,353.22