Finding the Third Proportional to 1,514 and 3,209.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,514 : 3,209.50 = 3,209.50 : x
2. Step 2: Convert to fraction form
   1,514/3,209.50 = 3,209.50/x
3. Step 3: Cross multiply
   1,514x = 3,209.50 × 3,209.50
4. Step 4: Simplify right side
   1,514x = 10,300,890.25
5. Step 5: Solve for x
   x = 10,300,890.25/1,514
6. Step 6: Final answer
   x = 6,803.76