Finding the Third Proportional to 31,718 and 67,828

Step by Step Solution

1. Step 1: Write the proportion equation
   31,718 : 67,828 = 67,828 : x
2. Step 2: Convert to fraction form
   31,718/67,828 = 67,828/x
3. Step 3: Cross multiply
   31,718x = 67,828 × 67,828
4. Step 4: Simplify right side
   31,718x = 4,600,637,584
5. Step 5: Solve for x
   x = 4,600,637,584/31,718
6. Step 6: Final answer
   x = 145,048.16