Finding the Third Proportional to 1,142.81 and 1,726.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,142.81 : 1,726.88 = 1,726.88 : x
2. Step 2: Convert to fraction form
   1,142.81/1,726.88 = 1,726.88/x
3. Step 3: Cross multiply
   1,142.81x = 1,726.88 × 1,726.88
4. Step 4: Simplify right side
   1,142.81x = 2,982,097.27
5. Step 5: Solve for x
   x = 2,982,097.27/1,142.81
6. Step 6: Final answer
   x = 2,609.44