Finding the Third Proportional to 1,665.25 and 2,562.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,665.25 : 2,562.63 = 2,562.63 : x
2. Step 2: Convert to fraction form
   1,665.25/2,562.63 = 2,562.63/x
3. Step 3: Cross multiply
   1,665.25x = 2,562.63 × 2,562.63
4. Step 4: Simplify right side
   1,665.25x = 6,567,046.89
5. Step 5: Solve for x
   x = 6,567,046.89/1,665.25
6. Step 6: Final answer
   x = 3,943.58