Finding the Third Proportional to 42,040 and 82,912

Step by Step Solution

1. Step 1: Write the proportion equation
   42,040 : 82,912 = 82,912 : x
2. Step 2: Convert to fraction form
   42,040/82,912 = 82,912/x
3. Step 3: Cross multiply
   42,040x = 82,912 × 82,912
4. Step 4: Simplify right side
   42,040x = 6,874,399,744
5. Step 5: Solve for x
   x = 6,874,399,744/42,040
6. Step 6: Final answer
   x = 163,520.45