Finding the Third Proportional to 31,896 and 68,488

Step by Step Solution

1. Step 1: Write the proportion equation
   31,896 : 68,488 = 68,488 : x
2. Step 2: Convert to fraction form
   31,896/68,488 = 68,488/x
3. Step 3: Cross multiply
   31,896x = 68,488 × 68,488
4. Step 4: Simplify right side
   31,896x = 4,690,606,144
5. Step 5: Solve for x
   x = 4,690,606,144/31,896
6. Step 6: Final answer
   x = 147,059.39