Finding the Third Proportional to 31,007 and 65,308

Step by Step Solution

1. Step 1: Write the proportion equation
   31,007 : 65,308 = 65,308 : x
2. Step 2: Convert to fraction form
   31,007/65,308 = 65,308/x
3. Step 3: Cross multiply
   31,007x = 65,308 × 65,308
4. Step 4: Simplify right side
   31,007x = 4,265,134,864
5. Step 5: Solve for x
   x = 4,265,134,864/31,007
6. Step 6: Final answer
   x = 137,553.94