Finding the Third Proportional to 31,008 and 65,696

Step by Step Solution

1. Step 1: Write the proportion equation
   31,008 : 65,696 = 65,696 : x
2. Step 2: Convert to fraction form
   31,008/65,696 = 65,696/x
3. Step 3: Cross multiply
   31,008x = 65,696 × 65,696
4. Step 4: Simplify right side
   31,008x = 4,315,964,416
5. Step 5: Solve for x
   x = 4,315,964,416/31,008
6. Step 6: Final answer
   x = 139,188.74