Finding the Third Proportional to 31,302 and 64,676

Step by Step Solution

1. Step 1: Write the proportion equation
   31,302 : 64,676 = 64,676 : x
2. Step 2: Convert to fraction form
   31,302/64,676 = 64,676/x
3. Step 3: Cross multiply
   31,302x = 64,676 × 64,676
4. Step 4: Simplify right side
   31,302x = 4,182,984,976
5. Step 5: Solve for x
   x = 4,182,984,976/31,302
6. Step 6: Final answer
   x = 133,633.15