Finding the Third Proportional to 3,082.50 and 4,113

Step by Step Solution

1. Step 1: Write the proportion equation
   3,082.50 : 4,113 = 4,113 : x
2. Step 2: Convert to fraction form
   3,082.50/4,113 = 4,113/x
3. Step 3: Cross multiply
   3,082.50x = 4,113 × 4,113
4. Step 4: Simplify right side
   3,082.50x = 16,916,769
5. Step 5: Solve for x
   x = 16,916,769/3,082.50
6. Step 6: Final answer
   x = 5,488.00