Finding the Third Proportional to 1,581.56 and 2,541.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,581.56 : 2,541.09 = 2,541.09 : x
2. Step 2: Convert to fraction form
   1,581.56/2,541.09 = 2,541.09/x
3. Step 3: Cross multiply
   1,581.56x = 2,541.09 × 2,541.09
4. Step 4: Simplify right side
   1,581.56x = 6,457,157.45
5. Step 5: Solve for x
   x = 6,457,157.45/1,581.56
6. Step 6: Final answer
   x = 4,082.77