Finding the Third Proportional to 31,336 and 64,747

Step by Step Solution

1. Step 1: Write the proportion equation
   31,336 : 64,747 = 64,747 : x
2. Step 2: Convert to fraction form
   31,336/64,747 = 64,747/x
3. Step 3: Cross multiply
   31,336x = 64,747 × 64,747
4. Step 4: Simplify right side
   31,336x = 4,192,174,009
5. Step 5: Solve for x
   x = 4,192,174,009/31,336
6. Step 6: Final answer
   x = 133,781.40