Finding the Third Proportional to 31,638 and 67,166

Step by Step Solution

1. Step 1: Write the proportion equation
   31,638 : 67,166 = 67,166 : x
2. Step 2: Convert to fraction form
   31,638/67,166 = 67,166/x
3. Step 3: Cross multiply
   31,638x = 67,166 × 67,166
4. Step 4: Simplify right side
   31,638x = 4,511,271,556
5. Step 5: Solve for x
   x = 4,511,271,556/31,638
6. Step 6: Final answer
   x = 142,590.29