Finding the Third Proportional to 5,727.50 and 8,433.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,727.50 : 8,433.50 = 8,433.50 : x
2. Step 2: Convert to fraction form
   5,727.50/8,433.50 = 8,433.50/x
3. Step 3: Cross multiply
   5,727.50x = 8,433.50 × 8,433.50
4. Step 4: Simplify right side
   5,727.50x = 71,123,922.25
5. Step 5: Solve for x
   x = 71,123,922.25/5,727.50
6. Step 6: Final answer
   x = 12,417.97