Finding the Third Proportional to 42,778 and 67,195

Step by Step Solution

1. Step 1: Write the proportion equation
   42,778 : 67,195 = 67,195 : x
2. Step 2: Convert to fraction form
   42,778/67,195 = 67,195/x
3. Step 3: Cross multiply
   42,778x = 67,195 × 67,195
4. Step 4: Simplify right side
   42,778x = 4,515,168,025
5. Step 5: Solve for x
   x = 4,515,168,025/42,778
6. Step 6: Final answer
   x = 105,548.83