Finding the Third Proportional to 31,806 and 41,837

Step by Step Solution

1. Step 1: Write the proportion equation
   31,806 : 41,837 = 41,837 : x
2. Step 2: Convert to fraction form
   31,806/41,837 = 41,837/x
3. Step 3: Cross multiply
   31,806x = 41,837 × 41,837
4. Step 4: Simplify right side
   31,806x = 1,750,334,569
5. Step 5: Solve for x
   x = 1,750,334,569/31,806
6. Step 6: Final answer
   x = 55,031.58