Finding the Third Proportional to 33,968 and 70,320

Step by Step Solution

1. Step 1: Write the proportion equation
   33,968 : 70,320 = 70,320 : x
2. Step 2: Convert to fraction form
   33,968/70,320 = 70,320/x
3. Step 3: Cross multiply
   33,968x = 70,320 × 70,320
4. Step 4: Simplify right side
   33,968x = 4,944,902,400
5. Step 5: Solve for x
   x = 4,944,902,400/33,968
6. Step 6: Final answer
   x = 145,575.32