Finding the Third Proportional to 34,608 and 75,768

Step by Step Solution

1. Step 1: Write the proportion equation
   34,608 : 75,768 = 75,768 : x
2. Step 2: Convert to fraction form
   34,608/75,768 = 75,768/x
3. Step 3: Cross multiply
   34,608x = 75,768 × 75,768
4. Step 4: Simplify right side
   34,608x = 5,740,789,824
5. Step 5: Solve for x
   x = 5,740,789,824/34,608
6. Step 6: Final answer
   x = 165,880.43