Finding the Third Proportional to 42,766 and 67,176

Step by Step Solution

1. Step 1: Write the proportion equation
   42,766 : 67,176 = 67,176 : x
2. Step 2: Convert to fraction form
   42,766/67,176 = 67,176/x
3. Step 3: Cross multiply
   42,766x = 67,176 × 67,176
4. Step 4: Simplify right side
   42,766x = 4,512,614,976
5. Step 5: Solve for x
   x = 4,512,614,976/42,766
6. Step 6: Final answer
   x = 105,518.75