Finding the Third Proportional to 5,764.50 and 8,406.75

Step by Step Solution

1. Step 1: Write the proportion equation
   5,764.50 : 8,406.75 = 8,406.75 : x
2. Step 2: Convert to fraction form
   5,764.50/8,406.75 = 8,406.75/x
3. Step 3: Cross multiply
   5,764.50x = 8,406.75 × 8,406.75
4. Step 4: Simplify right side
   5,764.50x = 70,673,445.56
5. Step 5: Solve for x
   x = 70,673,445.56/5,764.50
6. Step 6: Final answer
   x = 12,260.12