Finding the Third Proportional to 31,144 and 64,504

Step by Step Solution

1. Step 1: Write the proportion equation
   31,144 : 64,504 = 64,504 : x
2. Step 2: Convert to fraction form
   31,144/64,504 = 64,504/x
3. Step 3: Cross multiply
   31,144x = 64,504 × 64,504
4. Step 4: Simplify right side
   31,144x = 4,160,766,016
5. Step 5: Solve for x
   x = 4,160,766,016/31,144
6. Step 6: Final answer
   x = 133,597.68