Finding the Third Proportional to 31,392 and 67,968

Step by Step Solution

1. Step 1: Write the proportion equation
   31,392 : 67,968 = 67,968 : x
2. Step 2: Convert to fraction form
   31,392/67,968 = 67,968/x
3. Step 3: Cross multiply
   31,392x = 67,968 × 67,968
4. Step 4: Simplify right side
   31,392x = 4,619,649,024
5. Step 5: Solve for x
   x = 4,619,649,024/31,392
6. Step 6: Final answer
   x = 147,160.07