Finding the Third Proportional to 1,429.31 and 1,760.91

Step by Step Solution

1. Step 1: Write the proportion equation
   1,429.31 : 1,760.91 = 1,760.91 : x
2. Step 2: Convert to fraction form
   1,429.31/1,760.91 = 1,760.91/x
3. Step 3: Cross multiply
   1,429.31x = 1,760.91 × 1,760.91
4. Step 4: Simplify right side
   1,429.31x = 3,100,790.82
5. Step 5: Solve for x
   x = 3,100,790.82/1,429.31
6. Step 6: Final answer
   x = 2,169.43