Finding the Third Proportional to 1,433 and 3,470.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,433 : 3,470.50 = 3,470.50 : x
2. Step 2: Convert to fraction form
   1,433/3,470.50 = 3,470.50/x
3. Step 3: Cross multiply
   1,433x = 3,470.50 × 3,470.50
4. Step 4: Simplify right side
   1,433x = 12,044,370.25
5. Step 5: Solve for x
   x = 12,044,370.25/1,433
6. Step 6: Final answer
   x = 8,405.00