Finding the Third Proportional to 35,072 and 76,696

Step by Step Solution

1. Step 1: Write the proportion equation
   35,072 : 76,696 = 76,696 : x
2. Step 2: Convert to fraction form
   35,072/76,696 = 76,696/x
3. Step 3: Cross multiply
   35,072x = 76,696 × 76,696
4. Step 4: Simplify right side
   35,072x = 5,882,276,416
5. Step 5: Solve for x
   x = 5,882,276,416/35,072
6. Step 6: Final answer
   x = 167,720.02