Finding the Third Proportional to 42,714 and 68,019

Step by Step Solution

1. Step 1: Write the proportion equation
   42,714 : 68,019 = 68,019 : x
2. Step 2: Convert to fraction form
   42,714/68,019 = 68,019/x
3. Step 3: Cross multiply
   42,714x = 68,019 × 68,019
4. Step 4: Simplify right side
   42,714x = 4,626,584,361
5. Step 5: Solve for x
   x = 4,626,584,361/42,714
6. Step 6: Final answer
   x = 108,315.41