Finding the Third Proportional to 5,346.83 and 8,082.72

Step by Step Solution

1. Step 1: Write the proportion equation
   5,346.83 : 8,082.72 = 8,082.72 : x
2. Step 2: Convert to fraction form
   5,346.83/8,082.72 = 8,082.72/x
3. Step 3: Cross multiply
   5,346.83x = 8,082.72 × 8,082.72
4. Step 4: Simplify right side
   5,346.83x = 65,330,302.93
5. Step 5: Solve for x
   x = 65,330,302.93/5,346.83
6. Step 6: Final answer
   x = 12,218.51