Finding the Third Proportional to 5,674.50 and 8,430.75

Step by Step Solution

1. Step 1: Write the proportion equation
   5,674.50 : 8,430.75 = 8,430.75 : x
2. Step 2: Convert to fraction form
   5,674.50/8,430.75 = 8,430.75/x
3. Step 3: Cross multiply
   5,674.50x = 8,430.75 × 8,430.75
4. Step 4: Simplify right side
   5,674.50x = 71,077,545.56
5. Step 5: Solve for x
   x = 71,077,545.56/5,674.50
6. Step 6: Final answer
   x = 12,525.78