Finding the Third Proportional to 1,671.57 and 2,605.61

Step by Step Solution

1. Step 1: Write the proportion equation
   1,671.57 : 2,605.61 = 2,605.61 : x
2. Step 2: Convert to fraction form
   1,671.57/2,605.61 = 2,605.61/x
3. Step 3: Cross multiply
   1,671.57x = 2,605.61 × 2,605.61
4. Step 4: Simplify right side
   1,671.57x = 6,789,179.86
5. Step 5: Solve for x
   x = 6,789,179.86/1,671.57
6. Step 6: Final answer
   x = 4,061.55