Finding the Third Proportional to 31,768 and 67,644

Step by Step Solution

1. Step 1: Write the proportion equation
   31,768 : 67,644 = 67,644 : x
2. Step 2: Convert to fraction form
   31,768/67,644 = 67,644/x
3. Step 3: Cross multiply
   31,768x = 67,644 × 67,644
4. Step 4: Simplify right side
   31,768x = 4,575,710,736
5. Step 5: Solve for x
   x = 4,575,710,736/31,768
6. Step 6: Final answer
   x = 144,035.22