Finding the Third Proportional to 5,733.76 and 8,074.53

Step by Step Solution

1. Step 1: Write the proportion equation
   5,733.76 : 8,074.53 = 8,074.53 : x
2. Step 2: Convert to fraction form
   5,733.76/8,074.53 = 8,074.53/x
3. Step 3: Cross multiply
   5,733.76x = 8,074.53 × 8,074.53
4. Step 4: Simplify right side
   5,733.76x = 65,198,023.37
5. Step 5: Solve for x
   x = 65,198,023.37/5,733.76
6. Step 6: Final answer
   x = 11,370.91