Finding the Third Proportional to 31,738 and 64,932

Step by Step Solution

1. Step 1: Write the proportion equation
   31,738 : 64,932 = 64,932 : x
2. Step 2: Convert to fraction form
   31,738/64,932 = 64,932/x
3. Step 3: Cross multiply
   31,738x = 64,932 × 64,932
4. Step 4: Simplify right side
   31,738x = 4,216,164,624
5. Step 5: Solve for x
   x = 4,216,164,624/31,738
6. Step 6: Final answer
   x = 132,842.79