Finding the Third Proportional to 31,968 and 65,208

Step by Step Solution

1. Step 1: Write the proportion equation
   31,968 : 65,208 = 65,208 : x
2. Step 2: Convert to fraction form
   31,968/65,208 = 65,208/x
3. Step 3: Cross multiply
   31,968x = 65,208 × 65,208
4. Step 4: Simplify right side
   31,968x = 4,252,083,264
5. Step 5: Solve for x
   x = 4,252,083,264/31,968
6. Step 6: Final answer
   x = 133,010.61