Finding the Third Proportional to 35,636 and 76,980

Step by Step Solution

1. Step 1: Write the proportion equation
   35,636 : 76,980 = 76,980 : x
2. Step 2: Convert to fraction form
   35,636/76,980 = 76,980/x
3. Step 3: Cross multiply
   35,636x = 76,980 × 76,980
4. Step 4: Simplify right side
   35,636x = 5,925,920,400
5. Step 5: Solve for x
   x = 5,925,920,400/35,636
6. Step 6: Final answer
   x = 166,290.28