Finding the Third Proportional to 2,001 and 3,082.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,001 : 3,082.50 = 3,082.50 : x
2. Step 2: Convert to fraction form
   2,001/3,082.50 = 3,082.50/x
3. Step 3: Cross multiply
   2,001x = 3,082.50 × 3,082.50
4. Step 4: Simplify right side
   2,001x = 9,501,806.25
5. Step 5: Solve for x
   x = 9,501,806.25/2,001
6. Step 6: Final answer
   x = 4,748.53