Finding the Third Proportional to 31,808 and 67,828

Step by Step Solution

1. Step 1: Write the proportion equation
   31,808 : 67,828 = 67,828 : x
2. Step 2: Convert to fraction form
   31,808/67,828 = 67,828/x
3. Step 3: Cross multiply
   31,808x = 67,828 × 67,828
4. Step 4: Simplify right side
   31,808x = 4,600,637,584
5. Step 5: Solve for x
   x = 4,600,637,584/31,808
6. Step 6: Final answer
   x = 144,637.75