Finding the Third Proportional to 31,482 and 68,144

Step by Step Solution

1. Step 1: Write the proportion equation
   31,482 : 68,144 = 68,144 : x
2. Step 2: Convert to fraction form
   31,482/68,144 = 68,144/x
3. Step 3: Cross multiply
   31,482x = 68,144 × 68,144
4. Step 4: Simplify right side
   31,482x = 4,643,604,736
5. Step 5: Solve for x
   x = 4,643,604,736/31,482
6. Step 6: Final answer
   x = 147,500.31