Finding the Third Proportional to 27,868 and 37,806

Step by Step Solution

1. Step 1: Write the proportion equation
   27,868 : 37,806 = 37,806 : x
2. Step 2: Convert to fraction form
   27,868/37,806 = 37,806/x
3. Step 3: Cross multiply
   27,868x = 37,806 × 37,806
4. Step 4: Simplify right side
   27,868x = 1,429,293,636
5. Step 5: Solve for x
   x = 1,429,293,636/27,868
6. Step 6: Final answer
   x = 51,287.99