Finding the Third Proportional to 1,082.82 and 1,624.23

Step by Step Solution

1. Step 1: Write the proportion equation
   1,082.82 : 1,624.23 = 1,624.23 : x
2. Step 2: Convert to fraction form
   1,082.82/1,624.23 = 1,624.23/x
3. Step 3: Cross multiply
   1,082.82x = 1,624.23 × 1,624.23
4. Step 4: Simplify right side
   1,082.82x = 2,638,129.37
5. Step 5: Solve for x
   x = 2,638,129.37/1,082.82
6. Step 6: Final answer
   x = 2,436.35