Finding the Third Proportional to 31,296 and 67,512

Step by Step Solution

1. Step 1: Write the proportion equation
   31,296 : 67,512 = 67,512 : x
2. Step 2: Convert to fraction form
   31,296/67,512 = 67,512/x
3. Step 3: Cross multiply
   31,296x = 67,512 × 67,512
4. Step 4: Simplify right side
   31,296x = 4,557,870,144
5. Step 5: Solve for x
   x = 4,557,870,144/31,296
6. Step 6: Final answer
   x = 145,637.47