Finding the Third Proportional to 35,668 and 76,604

Step by Step Solution

1. Step 1: Write the proportion equation
   35,668 : 76,604 = 76,604 : x
2. Step 2: Convert to fraction form
   35,668/76,604 = 76,604/x
3. Step 3: Cross multiply
   35,668x = 76,604 × 76,604
4. Step 4: Simplify right side
   35,668x = 5,868,172,816
5. Step 5: Solve for x
   x = 5,868,172,816/35,668
6. Step 6: Final answer
   x = 164,522.06