Finding the Third Proportional to 1,568.13 and 2,081.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,568.13 : 2,081.75 = 2,081.75 : x
2. Step 2: Convert to fraction form
   1,568.13/2,081.75 = 2,081.75/x
3. Step 3: Cross multiply
   1,568.13x = 2,081.75 × 2,081.75
4. Step 4: Simplify right side
   1,568.13x = 4,333,683.06
5. Step 5: Solve for x
   x = 4,333,683.06/1,568.13
6. Step 6: Final answer
   x = 2,763.61