Finding the Third Proportional to 1,082.81 and 1,583.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,082.81 : 1,583.72 = 1,583.72 : x
2. Step 2: Convert to fraction form
   1,082.81/1,583.72 = 1,583.72/x
3. Step 3: Cross multiply
   1,082.81x = 1,583.72 × 1,583.72
4. Step 4: Simplify right side
   1,082.81x = 2,508,165.08
5. Step 5: Solve for x
   x = 2,508,165.08/1,082.81
6. Step 6: Final answer
   x = 2,316.34