Finding the Third Proportional to 1,171.81 and 1,781.92

Step by Step Solution

1. Step 1: Write the proportion equation
   1,171.81 : 1,781.92 = 1,781.92 : x
2. Step 2: Convert to fraction form
   1,171.81/1,781.92 = 1,781.92/x
3. Step 3: Cross multiply
   1,171.81x = 1,781.92 × 1,781.92
4. Step 4: Simplify right side
   1,171.81x = 3,175,242.09
5. Step 5: Solve for x
   x = 3,175,242.09/1,171.81
6. Step 6: Final answer
   x = 2,709.69