Finding the Third Proportional to 31,636 and 68,288

Step by Step Solution

1. Step 1: Write the proportion equation
   31,636 : 68,288 = 68,288 : x
2. Step 2: Convert to fraction form
   31,636/68,288 = 68,288/x
3. Step 3: Cross multiply
   31,636x = 68,288 × 68,288
4. Step 4: Simplify right side
   31,636x = 4,663,250,944
5. Step 5: Solve for x
   x = 4,663,250,944/31,636
6. Step 6: Final answer
   x = 147,403.30