Finding the Third Proportional to 40,912 and 82,814

Step by Step Solution

1. Step 1: Write the proportion equation
   40,912 : 82,814 = 82,814 : x
2. Step 2: Convert to fraction form
   40,912/82,814 = 82,814/x
3. Step 3: Cross multiply
   40,912x = 82,814 × 82,814
4. Step 4: Simplify right side
   40,912x = 6,858,158,596
5. Step 5: Solve for x
   x = 6,858,158,596/40,912
6. Step 6: Final answer
   x = 167,631.96