Finding the Third Proportional to 1,540 and 2,338.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,540 : 2,338.50 = 2,338.50 : x
2. Step 2: Convert to fraction form
   1,540/2,338.50 = 2,338.50/x
3. Step 3: Cross multiply
   1,540x = 2,338.50 × 2,338.50
4. Step 4: Simplify right side
   1,540x = 5,468,582.25
5. Step 5: Solve for x
   x = 5,468,582.25/1,540
6. Step 6: Final answer
   x = 3,551.03