Finding the Third Proportional to 31,906 and 65,404

Step by Step Solution

1. Step 1: Write the proportion equation
   31,906 : 65,404 = 65,404 : x
2. Step 2: Convert to fraction form
   31,906/65,404 = 65,404/x
3. Step 3: Cross multiply
   31,906x = 65,404 × 65,404
4. Step 4: Simplify right side
   31,906x = 4,277,683,216
5. Step 5: Solve for x
   x = 4,277,683,216/31,906
6. Step 6: Final answer
   x = 134,071.44