Finding the Third Proportional to 1,085.91 and 1,738.97

Step by Step Solution

1. Step 1: Write the proportion equation
   1,085.91 : 1,738.97 = 1,738.97 : x
2. Step 2: Convert to fraction form
   1,085.91/1,738.97 = 1,738.97/x
3. Step 3: Cross multiply
   1,085.91x = 1,738.97 × 1,738.97
4. Step 4: Simplify right side
   1,085.91x = 3,024,012.31
5. Step 5: Solve for x
   x = 3,024,012.31/1,085.91
6. Step 6: Final answer
   x = 2,784.78