Finding the Third Proportional to 1,665.38 and 2,520.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,665.38 : 2,520.56 = 2,520.56 : x
2. Step 2: Convert to fraction form
   1,665.38/2,520.56 = 2,520.56/x
3. Step 3: Cross multiply
   1,665.38x = 2,520.56 × 2,520.56
4. Step 4: Simplify right side
   1,665.38x = 6,353,235.32
5. Step 5: Solve for x
   x = 6,353,235.32/1,665.38
6. Step 6: Final answer
   x = 3,814.90