Finding the Third Proportional to 31,770 and 67,648

Step by Step Solution

1. Step 1: Write the proportion equation
   31,770 : 67,648 = 67,648 : x
2. Step 2: Convert to fraction form
   31,770/67,648 = 67,648/x
3. Step 3: Cross multiply
   31,770x = 67,648 × 67,648
4. Step 4: Simplify right side
   31,770x = 4,576,251,904
5. Step 5: Solve for x
   x = 4,576,251,904/31,770
6. Step 6: Final answer
   x = 144,043.18