Finding the Third Proportional to 36,404 and 76,696

Step by Step Solution

1. Step 1: Write the proportion equation
   36,404 : 76,696 = 76,696 : x
2. Step 2: Convert to fraction form
   36,404/76,696 = 76,696/x
3. Step 3: Cross multiply
   36,404x = 76,696 × 76,696
4. Step 4: Simplify right side
   36,404x = 5,882,276,416
5. Step 5: Solve for x
   x = 5,882,276,416/36,404
6. Step 6: Final answer
   x = 161,583.24