Finding the Third Proportional to 1,156.78 and 1,735.17

Step by Step Solution

1. Step 1: Write the proportion equation
   1,156.78 : 1,735.17 = 1,735.17 : x
2. Step 2: Convert to fraction form
   1,156.78/1,735.17 = 1,735.17/x
3. Step 3: Cross multiply
   1,156.78x = 1,735.17 × 1,735.17
4. Step 4: Simplify right side
   1,156.78x = 3,010,821.44
5. Step 5: Solve for x
   x = 3,010,821.44/1,156.78
6. Step 6: Final answer
   x = 2,602.76