Finding the Third Proportional to 1,309 and 1,743.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,309 : 1,743.50 = 1,743.50 : x
2. Step 2: Convert to fraction form
   1,309/1,743.50 = 1,743.50/x
3. Step 3: Cross multiply
   1,309x = 1,743.50 × 1,743.50
4. Step 4: Simplify right side
   1,309x = 3,039,792.25
5. Step 5: Solve for x
   x = 3,039,792.25/1,309
6. Step 6: Final answer
   x = 2,322.22