Finding the Third Proportional to 43,814 and 67,968

Step by Step Solution

1. Step 1: Write the proportion equation
   43,814 : 67,968 = 67,968 : x
2. Step 2: Convert to fraction form
   43,814/67,968 = 67,968/x
3. Step 3: Cross multiply
   43,814x = 67,968 × 67,968
4. Step 4: Simplify right side
   43,814x = 4,619,649,024
5. Step 5: Solve for x
   x = 4,619,649,024/43,814
6. Step 6: Final answer
   x = 105,437.74