Finding the Third Proportional to 1,115 and 1,734.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,115 : 1,734.25 = 1,734.25 : x
2. Step 2: Convert to fraction form
   1,115/1,734.25 = 1,734.25/x
3. Step 3: Cross multiply
   1,115x = 1,734.25 × 1,734.25
4. Step 4: Simplify right side
   1,115x = 3,007,623.06
5. Step 5: Solve for x
   x = 3,007,623.06/1,115
6. Step 6: Final answer
   x = 2,697.42