Finding the Third Proportional to 1,800 and 2,699.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,800 : 2,699.50 = 2,699.50 : x
2. Step 2: Convert to fraction form
   1,800/2,699.50 = 2,699.50/x
3. Step 3: Cross multiply
   1,800x = 2,699.50 × 2,699.50
4. Step 4: Simplify right side
   1,800x = 7,287,300.25
5. Step 5: Solve for x
   x = 7,287,300.25/1,800
6. Step 6: Final answer
   x = 4,048.50