Finding the Third Proportional to 31,042 and 65,764

Step by Step Solution

1. Step 1: Write the proportion equation
   31,042 : 65,764 = 65,764 : x
2. Step 2: Convert to fraction form
   31,042/65,764 = 65,764/x
3. Step 3: Cross multiply
   31,042x = 65,764 × 65,764
4. Step 4: Simplify right side
   31,042x = 4,324,903,696
5. Step 5: Solve for x
   x = 4,324,903,696/31,042
6. Step 6: Final answer
   x = 139,324.26