Finding the Third Proportional to 3,082.50 and 4,727.25

Step by Step Solution

1. Step 1: Write the proportion equation
   3,082.50 : 4,727.25 = 4,727.25 : x
2. Step 2: Convert to fraction form
   3,082.50/4,727.25 = 4,727.25/x
3. Step 3: Cross multiply
   3,082.50x = 4,727.25 × 4,727.25
4. Step 4: Simplify right side
   3,082.50x = 22,346,892.56
5. Step 5: Solve for x
   x = 22,346,892.56/3,082.50
6. Step 6: Final answer
   x = 7,249.60