Finding the Third Proportional to 2,082.59 and 4,506.89

Step by Step Solution

1. Step 1: Write the proportion equation
   2,082.59 : 4,506.89 = 4,506.89 : x
2. Step 2: Convert to fraction form
   2,082.59/4,506.89 = 4,506.89/x
3. Step 3: Cross multiply
   2,082.59x = 4,506.89 × 4,506.89
4. Step 4: Simplify right side
   2,082.59x = 20,312,063.11
5. Step 5: Solve for x
   x = 20,312,063.11/2,082.59
6. Step 6: Final answer
   x = 9,753.29