Finding the Third Proportional to 1,317.94 and 1,766.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,317.94 : 1,766.81 = 1,766.81 : x
2. Step 2: Convert to fraction form
   1,317.94/1,766.81 = 1,766.81/x
3. Step 3: Cross multiply
   1,317.94x = 1,766.81 × 1,766.81
4. Step 4: Simplify right side
   1,317.94x = 3,121,626.41
5. Step 5: Solve for x
   x = 3,121,626.41/1,317.94
6. Step 6: Final answer
   x = 2,368.57