Finding the Third Proportional to 1,141.03 and 1,741.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,141.03 : 1,741.78 = 1,741.78 : x
2. Step 2: Convert to fraction form
   1,141.03/1,741.78 = 1,741.78/x
3. Step 3: Cross multiply
   1,141.03x = 1,741.78 × 1,741.78
4. Step 4: Simplify right side
   1,141.03x = 3,033,801.92
5. Step 5: Solve for x
   x = 3,033,801.92/1,141.03
6. Step 6: Final answer
   x = 2,658.82