Finding the Third Proportional to 1,092.87 and 1,738.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,092.87 : 1,738.02 = 1,738.02 : x
2. Step 2: Convert to fraction form
   1,092.87/1,738.02 = 1,738.02/x
3. Step 3: Cross multiply
   1,092.87x = 1,738.02 × 1,738.02
4. Step 4: Simplify right side
   1,092.87x = 3,020,711.89
5. Step 5: Solve for x
   x = 3,020,711.89/1,092.87
6. Step 6: Final answer
   x = 2,764.02