Finding the Third Proportional to 31,633 and 68,166

Step by Step Solution

1. Step 1: Write the proportion equation
   31,633 : 68,166 = 68,166 : x
2. Step 2: Convert to fraction form
   31,633/68,166 = 68,166/x
3. Step 3: Cross multiply
   31,633x = 68,166 × 68,166
4. Step 4: Simplify right side
   31,633x = 4,646,603,556
5. Step 5: Solve for x
   x = 4,646,603,556/31,633
6. Step 6: Final answer
   x = 146,891.02