Finding the Third Proportional to 5,082.25 and 8,114.75

Step by Step Solution

1. Step 1: Write the proportion equation
   5,082.25 : 8,114.75 = 8,114.75 : x
2. Step 2: Convert to fraction form
   5,082.25/8,114.75 = 8,114.75/x
3. Step 3: Cross multiply
   5,082.25x = 8,114.75 × 8,114.75
4. Step 4: Simplify right side
   5,082.25x = 65,849,167.56
5. Step 5: Solve for x
   x = 65,849,167.56/5,082.25
6. Step 6: Final answer
   x = 12,956.70