Finding the Third Proportional to 31,648 and 73,282

Step by Step Solution

1. Step 1: Write the proportion equation
   31,648 : 73,282 = 73,282 : x
2. Step 2: Convert to fraction form
   31,648/73,282 = 73,282/x
3. Step 3: Cross multiply
   31,648x = 73,282 × 73,282
4. Step 4: Simplify right side
   31,648x = 5,370,251,524
5. Step 5: Solve for x
   x = 5,370,251,524/31,648
6. Step 6: Final answer
   x = 169,686.92