Finding the Third Proportional to 35,630 and 76,621

Step by Step Solution

1. Step 1: Write the proportion equation
   35,630 : 76,621 = 76,621 : x
2. Step 2: Convert to fraction form
   35,630/76,621 = 76,621/x
3. Step 3: Cross multiply
   35,630x = 76,621 × 76,621
4. Step 4: Simplify right side
   35,630x = 5,870,777,641
5. Step 5: Solve for x
   x = 5,870,777,641/35,630
6. Step 6: Final answer
   x = 164,770.63