Finding the Third Proportional to 1,082.63 and 1,679.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,082.63 : 1,679.06 = 1,679.06 : x
2. Step 2: Convert to fraction form
   1,082.63/1,679.06 = 1,679.06/x
3. Step 3: Cross multiply
   1,082.63x = 1,679.06 × 1,679.06
4. Step 4: Simplify right side
   1,082.63x = 2,819,250.88
5. Step 5: Solve for x
   x = 2,819,250.88/1,082.63
6. Step 6: Final answer
   x = 2,604.09