Finding the Third Proportional to 31,312 and 64,694

Step by Step Solution

1. Step 1: Write the proportion equation
   31,312 : 64,694 = 64,694 : x
2. Step 2: Convert to fraction form
   31,312/64,694 = 64,694/x
3. Step 3: Cross multiply
   31,312x = 64,694 × 64,694
4. Step 4: Simplify right side
   31,312x = 4,185,313,636
5. Step 5: Solve for x
   x = 4,185,313,636/31,312
6. Step 6: Final answer
   x = 133,664.85