Finding the Third Proportional to 31,646 and 68,308

Step by Step Solution

1. Step 1: Write the proportion equation
   31,646 : 68,308 = 68,308 : x
2. Step 2: Convert to fraction form
   31,646/68,308 = 68,308/x
3. Step 3: Cross multiply
   31,646x = 68,308 × 68,308
4. Step 4: Simplify right side
   31,646x = 4,665,982,864
5. Step 5: Solve for x
   x = 4,665,982,864/31,646
6. Step 6: Final answer
   x = 147,443.05