Finding the Third Proportional to 31,211 and 65,015

Step by Step Solution

1. Step 1: Write the proportion equation
   31,211 : 65,015 = 65,015 : x
2. Step 2: Convert to fraction form
   31,211/65,015 = 65,015/x
3. Step 3: Cross multiply
   31,211x = 65,015 × 65,015
4. Step 4: Simplify right side
   31,211x = 4,226,950,225
5. Step 5: Solve for x
   x = 4,226,950,225/31,211
6. Step 6: Final answer
   x = 135,431.43