Finding the Third Proportional to 1,140.82 and 1,761.61

Step by Step Solution

1. Step 1: Write the proportion equation
   1,140.82 : 1,761.61 = 1,761.61 : x
2. Step 2: Convert to fraction form
   1,140.82/1,761.61 = 1,761.61/x
3. Step 3: Cross multiply
   1,140.82x = 1,761.61 × 1,761.61
4. Step 4: Simplify right side
   1,140.82x = 3,103,267.59
5. Step 5: Solve for x
   x = 3,103,267.59/1,140.82
6. Step 6: Final answer
   x = 2,720.21