Finding the Third Proportional to 31,900 and 65,096

Step by Step Solution

1. Step 1: Write the proportion equation
   31,900 : 65,096 = 65,096 : x
2. Step 2: Convert to fraction form
   31,900/65,096 = 65,096/x
3. Step 3: Cross multiply
   31,900x = 65,096 × 65,096
4. Step 4: Simplify right side
   31,900x = 4,237,489,216
5. Step 5: Solve for x
   x = 4,237,489,216/31,900
6. Step 6: Final answer
   x = 132,836.65