Finding the Third Proportional to 1,945.41 and 2,796.61

Step by Step Solution

1. Step 1: Write the proportion equation
   1,945.41 : 2,796.61 = 2,796.61 : x
2. Step 2: Convert to fraction form
   1,945.41/2,796.61 = 2,796.61/x
3. Step 3: Cross multiply
   1,945.41x = 2,796.61 × 2,796.61
4. Step 4: Simplify right side
   1,945.41x = 7,821,024.00
5. Step 5: Solve for x
   x = 7,821,024.00/1,945.41
6. Step 6: Final answer
   x = 4,020.25