Finding the Third Proportional to 1,137 and 1,806.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,137 : 1,806.38 = 1,806.38 : x
2. Step 2: Convert to fraction form
   1,137/1,806.38 = 1,806.38/x
3. Step 3: Cross multiply
   1,137x = 1,806.38 × 1,806.38
4. Step 4: Simplify right side
   1,137x = 3,262,990.64
5. Step 5: Solve for x
   x = 3,262,990.64/1,137
6. Step 6: Final answer
   x = 2,869.82