Finding the Third Proportional to 31,812 and 67,837

Step by Step Solution

1. Step 1: Write the proportion equation
   31,812 : 67,837 = 67,837 : x
2. Step 2: Convert to fraction form
   31,812/67,837 = 67,837/x
3. Step 3: Cross multiply
   31,812x = 67,837 × 67,837
4. Step 4: Simplify right side
   31,812x = 4,601,858,569
5. Step 5: Solve for x
   x = 4,601,858,569/31,812
6. Step 6: Final answer
   x = 144,657.95