Finding the Third Proportional to 35,772 and 76,164

Step by Step Solution

1. Step 1: Write the proportion equation
   35,772 : 76,164 = 76,164 : x
2. Step 2: Convert to fraction form
   35,772/76,164 = 76,164/x
3. Step 3: Cross multiply
   35,772x = 76,164 × 76,164
4. Step 4: Simplify right side
   35,772x = 5,800,954,896
5. Step 5: Solve for x
   x = 5,800,954,896/35,772
6. Step 6: Final answer
   x = 162,164.68