Finding the Third Proportional to 1,434 and 3,238.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,434 : 3,238.50 = 3,238.50 : x
2. Step 2: Convert to fraction form
   1,434/3,238.50 = 3,238.50/x
3. Step 3: Cross multiply
   1,434x = 3,238.50 × 3,238.50
4. Step 4: Simplify right side
   1,434x = 10,487,882.25
5. Step 5: Solve for x
   x = 10,487,882.25/1,434
6. Step 6: Final answer
   x = 7,313.73