Finding the Third Proportional to 31,910 and 65,412

Step by Step Solution

1. Step 1: Write the proportion equation
   31,910 : 65,412 = 65,412 : x
2. Step 2: Convert to fraction form
   31,910/65,412 = 65,412/x
3. Step 3: Cross multiply
   31,910x = 65,412 × 65,412
4. Step 4: Simplify right side
   31,910x = 4,278,729,744
5. Step 5: Solve for x
   x = 4,278,729,744/31,910
6. Step 6: Final answer
   x = 134,087.43