Finding the Third Proportional to 31,241 and 49,966

Step by Step Solution

1. Step 1: Write the proportion equation
   31,241 : 49,966 = 49,966 : x
2. Step 2: Convert to fraction form
   31,241/49,966 = 49,966/x
3. Step 3: Cross multiply
   31,241x = 49,966 × 49,966
4. Step 4: Simplify right side
   31,241x = 2,496,601,156
5. Step 5: Solve for x
   x = 2,496,601,156/31,241
6. Step 6: Final answer
   x = 79,914.25