Finding the Third Proportional to 35,634 and 76,764

Step by Step Solution

1. Step 1: Write the proportion equation
   35,634 : 76,764 = 76,764 : x
2. Step 2: Convert to fraction form
   35,634/76,764 = 76,764/x
3. Step 3: Cross multiply
   35,634x = 76,764 × 76,764
4. Step 4: Simplify right side
   35,634x = 5,892,711,696
5. Step 5: Solve for x
   x = 5,892,711,696/35,634
6. Step 6: Final answer
   x = 165,367.67