Finding the Third Proportional to 1,568.74 and 2,092.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,568.74 : 2,092.71 = 2,092.71 : x
2. Step 2: Convert to fraction form
   1,568.74/2,092.71 = 2,092.71/x
3. Step 3: Cross multiply
   1,568.74x = 2,092.71 × 2,092.71
4. Step 4: Simplify right side
   1,568.74x = 4,379,439.07
5. Step 5: Solve for x
   x = 4,379,439.07/1,568.74
6. Step 6: Final answer
   x = 2,791.69