Finding the Third Proportional to 30,668 and 64,428

Step by Step Solution

1. Step 1: Write the proportion equation
   30,668 : 64,428 = 64,428 : x
2. Step 2: Convert to fraction form
   30,668/64,428 = 64,428/x
3. Step 3: Cross multiply
   30,668x = 64,428 × 64,428
4. Step 4: Simplify right side
   30,668x = 4,150,967,184
5. Step 5: Solve for x
   x = 4,150,967,184/30,668
6. Step 6: Final answer
   x = 135,351.74