Finding the Third Proportional to 1,806 and 2,693.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,806 : 2,693.50 = 2,693.50 : x
2. Step 2: Convert to fraction form
   1,806/2,693.50 = 2,693.50/x
3. Step 3: Cross multiply
   1,806x = 2,693.50 × 2,693.50
4. Step 4: Simplify right side
   1,806x = 7,254,942.25
5. Step 5: Solve for x
   x = 7,254,942.25/1,806
6. Step 6: Final answer
   x = 4,017.13