Finding the Third Proportional to 31,769 and 67,647

Step by Step Solution

1. Step 1: Write the proportion equation
   31,769 : 67,647 = 67,647 : x
2. Step 2: Convert to fraction form
   31,769/67,647 = 67,647/x
3. Step 3: Cross multiply
   31,769x = 67,647 × 67,647
4. Step 4: Simplify right side
   31,769x = 4,576,116,609
5. Step 5: Solve for x
   x = 4,576,116,609/31,769
6. Step 6: Final answer
   x = 144,043.46