Finding the Third Proportional to 35,072 and 76,141

Step by Step Solution

1. Step 1: Write the proportion equation
   35,072 : 76,141 = 76,141 : x
2. Step 2: Convert to fraction form
   35,072/76,141 = 76,141/x
3. Step 3: Cross multiply
   35,072x = 76,141 × 76,141
4. Step 4: Simplify right side
   35,072x = 5,797,451,881
5. Step 5: Solve for x
   x = 5,797,451,881/35,072
6. Step 6: Final answer
   x = 165,301.43